Minty K22's can bring $500, or more in rare variations. I don't think that is the serial number however. The serial number will be found on the butt of the gun, not inside the crane.
100-400 or so
1953
1954
1972
racrolelt
1948
Look on the butt of the revolver.
K130218 was produced in 1951
@1947
i think 1966
Standard Catalog of Smith and Wesson, 3rd, ed.
The value of a firearm depends a lot on its condition. That can be anything from "like new" to badly worn and treated. Subject K22 can be worth anything from $150 to $700 depending on its condition. A good source for gun values is the "Blue Book of Gun Values" This is published yearly. Your local public library may have a copy in their reference section.