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 $$1013$$

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