The power of two is more fun than the power of one

2122+2324+2526+27+22013 2^{1}-2^{2}+2^{3}-2^{4}+2^{5}-2^{6}+2^{7} -\ldots +2^{2013}

Let aa be the value of the expression above. Find the last two digits of a.a.

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