Hi Constance,
A lot depends upon what you intend to cook.
Simple maths > 9x 13 = 117 sq. ins. so the nearest equivalent would be a 12 x 10 = 120 sq. ins. if it is for a tray bake. However, it might cook a very slight tad quicker as the mixture will be erver so slightly thinner.
You could go for an 11 x 11inch = 120 or 11 x 10inch = 110. In the case of an 11 x 10 inch pan the mixture will be ever so slightly thicker and take a minute or two more to cook.
It is much easier if trying to convert cooking a mixture for a round pan to a square pan. A recipe that says it should be cooked in an 8 inch round pan should be cooked in a 7 inch square pan for the same depth, so 9 inch round = 8 inch square, 10 inch round = 9 inch square and so on.
Unfortunately, you`ve got a recipe for a pan that when you work out the square inches, i.e., 9 x 13 = 117 does not convert easily to another pan size, although the closest size, if it is for a shallow pan is 12 x 10.
Hope this helps,
Archiduc