+2401 2013 in mod 13 = 11
11
121 = 4
44 = 5
55 = 3
33 = 7
77 = 12
132 = 2
22 = 9
99 = 8
88 = 10
110 = 6
66 = 1
If you continue this cycle of 12, 13 times, our answer should be 11
=^._.^=
+137 Can confirm. also, the number is 685528825939742403772959575428195371930634×13 + 11, so the remainder is 11 :D :P
