Cancerous eh.

For how many ordered pairs of positive integers $( \ a, \ b \ )$ such that for $a, \ b$ < $1013$

${ a }^{ 1011 }\quad +\quad { a }^{ 1010 }.b\quad +\quad { a }^{ 1009 }.{ b }^{ 2 } +... +{ b }^{ 1011 }$

Is divisible by $1013$