Sequence of Powers of 11

Integer Sequence
The sequence of powers of $11$ begins:
 * $1, 11, 121, 1331, 14 \, 641, 161 \, 051, 1 \, 771 \, 561, 19 \, 487 \, 171, 214 \, 358 \, 881, 2 \, 357 \, 947 \, 691, \ldots$