  We provide exact asymptotics for the tail probabilities $\mathbb{P} \{S_{n,r}
> x\}$ as $x \to \infty$, for fix $n$, where $S_{n,r}$ is the $r$-trimmed
partial sum of i.i.d. St. Petersburg random variables. In particular, we prove
that although the St. Petersburg distribution is only O-subexponential, the
subexponential property almost holds. We also determine the exact tail behavior
of the $r$-trimmed limits.
