Looking at the pic with the ruler, maybe that 13” measurement is an absolute and takes into account the screws on the sides? Looking at your pic, it looks like the actual measurement to the end of the screw head is 12 7/8, so if there’s another 1/8” screw head on the opposite side, that’s 13”. 

Ryan/// ~sigh~ I blew up another bowl. Moke told me "I made the inside bigger than the outside".