32 × 11 × 13 × 101
1, 3, 9, 11, 13, 33, 39, 99, 101, 117, 143, 303, 429, 909, 1111, 1287, 1313, 3333, 3939, 9999, 11817, 14443, 43329 and 129987
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.