Congratulations on your canoe. We may need to do more work to find the build record however. One thing you could try is to ask the seller if they have the build information, or how they determined it was from the '30s and an AA Otca.
Old Town 13983 is a 17 foot AA (top) grade HW (heavy water) canoe that was completed March 1910 to February 1911, with red Western cedar planking, CLOSED spruce gunwales, mahogany decks/thwarts/seat frames, a keel, sponsons, and a floor rack. It was shipped to Baltimore, MD, on March 3,1911. I'll attach this scan. Check out the details carefully and post pictures if you're unsure. Sponsons can be removed but there are tell-tale signs of them... little carry thwarts are often present, and screw holes under the gunwales. An HW model would have a different deck from an Otca-- it would be the short "ogee shape" deck, commonly seen on OTs, and the Otca deck until 1957 is a long deck with coaming.
The serial number would come out in the 1930s if it's actually 113XXX and not 13XXX... but I ran every serial number 113X83 and got the following (these are all 1933-34)
113083 16' AA HW
113183 11' CS 50#
113283 17' CS Otca (sent to Cleveland, OH)
113383 16' AA HW
113483 15' CS 50#
113583 15' CS 50#
113683 18' CS HW
113783 16' CS HW
113883 17' CS HW
113983 16' CS HW 1934
I also ran it as a Carlton and 13983 is a 17' CS grade Carleton model shipped to Springfield MA in 1919.
You may want to take a picture of the stem and post so we can try some other possibilities.
This scan and several hundred thousand others were created with substantial grants from the Wooden Canoe Heritage Association (WCHA) and others. A description of the project to preserve these records is available at
http://www.wcha.org/ot_records/ if you want more details. I hope that you will join or renew your membership to the WCHA so that services like this can continue. See
http://www.wcha.org/wcha/ to learn more about the WCHA and
http://www.wcha.org/join.php to join.
It is also possible that you could have another number or manufacturer if this description doesn't match your canoe. Feel free to reply here if you have any other questions.
Kathy