1. The user asks for the reciprocal of 13. 2. The reciprocal of a number $x$ is defined as $\frac{1}{x}$. 3. For $13$, its reciprocal is $\frac{1}{13}$. 4. This means if you multiply 13 by its reciprocal, you get 1: $$13 \times \frac{1}{13} = 1$$. 5. Therefore, the reciprocal of 13 is $\frac{1}{13}$.