a Model 31-12K801 is a 1990 model 310-8 Wheel Horse with a Kohler #M10S-461521, a 10hp engine.
The Model C-125 Automatic Wheel Horses were only made in '80 (#01-12KS01) and '81 (#01-12KE02), they both had a 12hp Kohler (#K301AS-47723D, or 47742).
In the model numbers, for Wheel Horse, the exact placement of the Dash and the capital letters are very important in searching for serial numbers. On the sides of the hood, either the 310-8 or C-125 should be on the decal. The C-125 had a very squarish hood shape and the 310-8 was more stylish and roundish hood & fender shape (started 1985 to present) >>> There were five types of Wheel Horses made then, 1,2,3,4,& 500 series ('85 on) or A,B,C,D, & GT-series (pre '85), both the C-series and 300-series were heavy duty Garden Tractors that could take almost every implement made, and most are still very interchangeable, from 1973 to present, and many internal parts are the same on these two.
Could not find anything on the #13468, probably a series number, when made. Kohler engines were made 2-3 months before they were placed on the tractor, and in the Kohler manuals/net we can find the exact day that engine was actually made, it's another good way to date your tractor.
Sources: "Straight from the Horse's Mouth" by Mike Martino, (THE Wheel Horse book/'bible/), and the TORO "Help Book", 2005.
Welcome to GTTalk, and hope this helps . . . .be sure to look at the photos here:
Glen
A Model #01-12K801 is a 1980 C-125 8-speed (stick-manual shift) with a Kohler #K301AS-47723, a 12 hp engine.