3 × 11 × 73 × 101 × 137
1, 3, 11, 33, 73, 101, 137, 219, 303, 411, 803, 1111, 1507, 2409, 3333, 4521, 7373, 10001, 13837, 22119, 30003, 41511, 81103, 110011, 152207, 243309, 330033, 456621, 1010101, 3030303, 11111111 and 33333333
No.
Its nearest Fibonacci number neighbors are 24157817 and 39088169.