INSURED MUNICIPALS INCOME TRUST & IN QU TAX EX TR MUL SE 313
497J, 1999-03-01
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                                February 26, 1999

Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C. 20549-1004
Attn:  Filing Desk, Stop 1-4

                Re:  Insured Municipals Income Trust and Investors'
                     Quality Tax-Exempt Trust, Multi Series 313
                     (File No. 333-64247)  (CIK No.1024829)

Gentlemen:

         In accordance with the provisions of Rule 497(j) of Regulation C under
the Securities Act of 1933 (the "Securities Act") this letter serves to certify
that the most recent amendment to the registration statement of Form S-6 for the
above captioned Trust does not differ from that which would have been filed
pursuant to Rule 497(b) of the Securities Act. Amendment No. 1 to the
registration statement, which was the most recent amendment to the registration
statement, was filed electronically with the Commission on February 25, 1999.

                                                          Very truly yours,


                                                          VAN KAMPEN FUNDS INC.


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