33 × 5 × 11 × 101
1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 101, 135, 165, 297, 303, 495, 505, 909, 1111, 1485, 1515, 2727, 3333, 4545, 5555, 9999, 13635, 16665, 29997, 49995 and 149985
No.
Its nearest Fibonacci number neighbors are 121393 and 196418.