1
                       SECURITIES AND EXCHANGE COMMISSION
                              WASHINGTON, DC 20549

                                   SCHEDULE TO

        TENDER OFFER STATEMENT UNDER SECTION 14(D)(1) OR 13(E)(1) OF THE
                         SECURITIES EXCHANGE ACT OF 1934
                               (AMENDMENT NO. __)
                                       AND
                                  SCHEDULE 13D
                    UNDER THE SECURITIES EXCHANGE ACT OF 1934
                                (AMENDMENT NO. 5)

                       United Investors Income Properties
- --------------------------------------------------------------------------------
                        (Name of Subject Company (Issuer)

                        AIMCO Properties, L.P. -- Offeror
- --------------------------------------------------------------------------------
            (Names of Filing Persons (Identifying Status as Offeror,
                            Issuer or Other Person))

                            Limited Partnership Units
- --------------------------------------------------------------------------------
                           (Title of Class Securities)

                                      None
- --------------------------------------------------------------------------------
                       (CUSIP Number of Class Securities)

                                 Patrick J. Foye
                            Executive Vice President
                   Apartment Investment And Management Company
                           Colorado Center, Tower Two
                   2000 South Colorado Boulevard, Suite 2-1000
                             Denver, Colorado 80222
                                 (303) 757-8081
- --------------------------------------------------------------------------------
            Name, address, and telephone numbers of person authorized
       to receive notices and communications on behalf of filing persons)

                                    Copy To:

                                Gregory M. Chait
                               Katherine M. Koops
                     Powell, Goldstein, Frazer & Murphy LLP
                   191 Peachtree Street, N.E., Sixteenth Floor
                             Atlanta, Georgia 30303
                                 (404) 572-6600

                            Calculation of Filing Fee

<Table>
<Caption>
- -------------------------------------------------------------------------------
Transaction valuation*                   Amount of filing fee
- -------------------------------------------------------------------------------
                                      
$ 4,920,025.60                           $ 985.00
- -------------------------------------------------------------------------------
</Table>

*    For purposes of calculating the fee only. This amount assumes the purchase
     of 40,864 units of limited partnership interest of the subject partnership
     for $120.40 per unit. The amount of the filing fee equals 1/50th of one
     percent of the aggregate of the cash offered by the bidder.

[ ]  Check the box if any part of the fee is offset as provided by Rule
     0-11(a)(2) and identify the filing with which the offsetting fee was
     previously paid. Identify the previous filing by registration statement
     number, or the Form or Schedule and the date of its filing.

Amount Previously Paid:   $                  Filing Party:

Form or Registration No.:                    Date Filed:


[ ] Check the box if the filing relates solely to preliminary communications
made before the commencement of a tender offer.

Check the appropriate boxes below to designate any transactions to which the
statement relates:

<Table>
<Caption>
                                                         
     [ ] third-party tender offer subject to Rule 14d-1     [ ]  going-private transaction subject to Rule 13e-3

     [X] issuer tender offer subject to Rule 13e-4          [X]  amendment to Schedule 13D under Rule 13d-2
</Table>

Check the following box if the filing is a final amendment reporting the results
of the tender offer: [ ]


   2




CUSIP No. NONE

1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  AIMCO PROPERTIES, L.P.
                  84-1275721

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                    (a)    [ ]
                                                                    (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  WC, BK

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT TO
         ITEMS 2(d) OR 2(e))                                                [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Delaware

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER

         B.       SHARED DISPOSITIVE POWER
                           19,161

         C.       SOLE DISPOSITIVE POWER

         D.       SHARED DISPOSITIVE POWER
                           19,161

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                           19,161

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                           [ ]
10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  Approximately 31.38%

11.      TYPE OF REPORTING PERSON

                  PN


   3


CUSIP No. NONE

1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  AIMCO-GP, INC.

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                    (a)    [ ]
                                                                    (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  Not Applicable

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
         TO ITEMS 2(d) OR 2(e))                                            [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Delaware

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER


         B.       SHARED VOTING POWER
                         19,161

         C.       SOLE DISPOSITIVE POWER

         D.       SHARED DISPOSITIVE POWER
                         19,161

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                         19,161

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                            [ ]
10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  Approximately 31.38%

11.      TYPE OF REPORTING PERSON

                  CO


   4


CUSIP No. NONE

1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  APARTMENT INVESTMENT AND MANAGEMENT COMPANY
                  84-129577

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                     (a)    [ ]
                                                                     (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  Not Applicable

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
         TO ITEMS 2(d) OR 2(e))                                             [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Maryland

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER


         B.       SHARED VOTING POWER
                           20,199

         C.       SOLE DISPOSITIVE POWER


         D.       SHARED DISPOSITIVE POWER
                           20,199

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                           20,199

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                            [ ]

10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  Approximately 33.08%

11.      TYPE OF REPORTING PERSON

                  CO


   5

1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  INSIGNIA PROPERTIES, L.P.

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                    (a)    [ ]
                                                                    (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  Not Applicable

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
         TO ITEMS 2(d) OR 2(e))                                            [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Delaware

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER


         B.       SHARED VOTING POWER
                           88

         C.       SOLE DISPOSITIVE POWER


         D.       SHARED DISPOSITIVE POWER
                           88

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                           88

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                            [ ]

10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  Less than 1%

11.      TYPE OF REPORTING PERSON

                  PN


   6




1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  AIMCO/IPT, INC.

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                    (a)    [ ]
                                                                    (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  Not Applicable

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
         TO ITEMS 2(d) OR 2(e))                                             [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Delaware

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER


         B.       SHARED VOTING POWER
                           88

         C.       SOLE DISPOSITIVE POWER


         D.       SHARED DISPOSITIVE POWER
                           88

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                           88

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                           [ ]

10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  Less than 1%

11.      TYPE OF REPORTING PERSON

                  CO



   7



1.       NAME OF REPORTING PERSON(S) S.S.# OR I.R.S. IDENTIFICATION NOS. OF
         ABOVE PERSONS (entities only)

                  UNITED INVESTORS REAL ESTATE, INC.

2.       CHECK THE APPROPRIATE BOX IF A MEMBER OF GROUP
                                                                    (a)    [ ]
                                                                    (b)    [X]

3.       SEC USE ONLY

4.       SOURCE OF FUNDS

                  Not Applicable

5.       (CHECK IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
         TO ITEMS 2(d) OR 2(e))                                            [ ]

6.       CITIZENSHIP OR PLACE OF ORGANIZATION

                  Delaware

7.       NUMBER OF SHARES BENEFICIALLY OWNED BY EACH REPORTING PERSON

         A.       SOLE VOTING POWER


         B.       SHARED VOTING POWER
                           950

         C.       SOLE DISPOSITIVE POWER


         D.       SHARED DISPOSITIVE POWER
                           950

8.       AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
                           950

9.       CHECK IF THE AGGREGATE AMOUNT IN ROW (7) EXCLUDES CERTAIN SHARES
                                                                           [ ]

10.      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (7)

                  1.55%

11.      TYPE OF REPORTING PERSON

                  PN



   8


             TENDER OFFER STATEMENT/ AMENDMENT NO. 5 TO SCHEDULE 13D

      This Tender Offer Statement on Schedule TO relates to the tender offer by
AIMCO Properties, L.P., a Delaware limited partnership, to purchase all of the
outstanding units, or such lesser number of units as are properly tendered, of
limited partnership interest of United Investors Income Properties, a New York
limited partnership (the "Partnership"), at a price of $120.40 per unit, subject
to the conditions set forth in the Offer to Purchase dated September 4, 2001,
and in the related Letter of Transmittal and Acknowledgment and Agreement,
which, as amended and supplemented from time to time, together constitute the
tender offer. Copies of the Offer to Purchase, Letter of Transmittal and
Acknowledgment and Agreement are filed with this Schedule TO as Exhibits 1, 2
and 3, respectively. In addition, because AIMCO Properties, L.P. is an affiliate
of the Partnership, this Schedule TO is intended to satisfy the reporting
requirements of Rule 13e-4(c)(1) of the Securities Exchange Act of 1934, as
amended. It also serves as Amendment No. 5 to the Schedule 13D filed by AIMCO
Properties, L.P. and certain of its affiliates.

      The information in Exhibits 1-3, 5(a)-(c) and 6, respectively, is
incorporated in this Schedule TO by reference in answer to items 1 through 11 of
Schedule TO and in response to Items 1 through 7 of Schedule 13D.

Item 12. Exhibits.

            1     Offer to Purchase, dated September 4, 2001.

            2     Letter of Transmittal and related Instructions (included as
                  Annex II to the Offer to Purchase attached as Exhibit (a)(1)).

            3     Acknowledgement and Agreement dated September 4, 2001.

            4     Letter, dated September 4, 2001, from AIMCO Properties, L.P.
                  to the limited partners of the Partnership.

            5(a)  Credit Agreement (Secured Revolving Credit Facility), dated as
                  of August 16, 1999, among AIMCO Properties, L.P., Bank of
                  America, Bank Boston, N.A., and First Union National Bank.
                  (Exhibit 10.1 to AIMCO's Current Report on Form 8-K, dated
                  August 16, 1999 is incorporated herein by this reference.)

            5(b)  Amended and Restated Credit Agreement, dated as of March 15,
                  2000, among AIMCO Properties, L.P., Bank of America, Bank
                  Boston, N.A., and First Union National Bank. (Exhibit 10.20 to
                  AIMCO Properties, L.P.'s Annual Report on Form 10-K for the
                  year ended December 31, 1999 is incorporated herein by this
                  reference.)

            5(c)  First Amendment to $345,000,000 Amended and Restated Credit
                  Agreement, dated as of April 14, 2000, among AIMCO Properties,
                  L.P., Bank of America, as Administrative Agent, and U.S. Bank
                  National Association, as Lender. (Exhibit 10.4 to AIMCO's
                  Current Report on Form 10-Q for quarter ended March 31, 2000
                  is incorporated herein by this reference.)

            6     Agreement of Joint Filing, dated September 4, 2001, among
                  AIMCO, AIMCO-GP, AIMCO Properties, L.P., Insignia Properties,
                  L.P., AIMCO/IPT, Inc. and United Investors Real Estate, Inc.


   9




                                    SIGNATURE

               After due inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Date: September 4, 2001

                                             AIMCO PROPERTIES, L.P.

                                             By: AIMCO-GP, INC.
                                                 (General Partner)

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President


                                             AIMCO-GP, INC.

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President


                                             APARTMENT INVESTMENT
                                             AND MANAGEMENT COMPANY

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President


                                             INSIGNIA PROPERTIES, L.P.

                                             By: AIMCO/IPT, INC.
                                                 (General Partner)

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President


                                             AIMCO/IPT, INC.

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President


                                             UNITED INVESTORS REAL ESTATE, INC.

                                             By: /s/ Patrick J. Foye
                                                 ------------------------------
                                                 Executive Vice President



   10




                                  EXHIBIT INDEX


<Table>
<Caption>
EXHIBIT
NUMBER            DESCRIPTION
- -------           -----------
               
   1              Offer to Purchase, dated September 4, 2001.

   2              Letter of Transmittal and related Instructions (included as
                  Annex II to the Offer to Purchase attached as Exhibit (a)(1)).

   3              Acknowledgement and Agreement dated September 4, 2001.

   4              Letter, dated September 4, 2001, from AIMCO Properties, L.P.
                  to the limited partners of the Partnership.

   5(a)           Credit Agreement (Secured Revolving Credit Facility), dated as
                  of August 16, 1999, among AIMCO Properties, L.P., Bank of
                  America, Bank Boston, N.A., and First Union National Bank.
                  (Exhibit 10.1 to AIMCO's Current Report on Form 8-K, dated
                  August 16, 1999 is incorporated herein by this reference.)

   5(b)           Amended and Restated Credit Agreement, dated as of March 15,
                  2000, among AIMCO Properties, L.P., Bank of America, Bank
                  Boston, N.A., and First Union National Bank. (Exhibit 10.20 to
                  AIMCO Properties, L.P.'s Annual Report on Form 10-K for the
                  year ended December 31, 1999 is incorporated herein by this
                  reference.)

   5(c)           First Amendment to $345,000,000 Amended and Restated Credit
                  Agreement, dated as of April 14, 2000, among AIMCO Properties,
                  L.P., Bank of America, as Administrative Agent, and U.S. Bank
                  National Association, as Lender. (Exhibit 10.4 to AIMCO's
                  Current Report on Form 10-Q for quarter ended March 31, 2000
                  is incorporated herein by this reference.)

   6              Agreement of Joint Filing, dated September 4, 2001, among
                  AIMCO, AIMCO-GP, AIMCO Properties, L.P., Insignia Properties,
                  L.P., AIMCO/IPT, Inc. and United Investors Real Estate, Inc.
</Table>