Find the next number in the series $13,32,57,88,\dots$.

Let's find the differences between the consecutive terms of the series:
* $32-13=19$
* $57-32=25$
* $88-57=31$

Now, let's find the common difference between these first-level differences (the second-level difference):

* $25-19=6$
* $31-25=6$

The second-level difference is constant and equals $6$. Following this pattern, the next first-level difference will be:

$$31+6=37$$

Therefore, the next number in the series is:

$$88+37=125$$