13. A and B are partners in a business, and together they made a profit of $a^{2}$ yuan (where $a$ is a two-digit natural number). When dividing the money, A takes 100 yuan first, then B takes 100 yuan, followed by A taking another 100 yuan, B taking another 100 yuan, and so on, until the last amount taken is less than 100 yuan. To ensure that both end up with the same total amount, the one who took more gave 35.5 yuan to the one who took less. The total profit they made has $\qquad$ possible values.
$4$