Hanoi Open Mathematics Competition 2013 Senior Question 6

Given \(a\in\{0,1,\ldots,1006\}\), find all \(n\in\{0,1,\ldots,2013\}\) such that \(C_{2013}^n\gt C_{2013}^a\), where \(C_m^k=\frac{m!}{k!(m-k)!}\).