7 × 11 × 41 × 271 × 9091
1, 7, 11, 41, 77, 271, 287, 451, 1897, 2981, 3157, 9091, 11111, 20867, 63637, 77777, 100001, 122221, 372731, 700007, 855547, 2463661, 2609117, 4100041, 17245627, 27100271, 28700287, 101010101, 189701897, 707070707, 1111111111 and 7777777777
No.
Its nearest Fibonacci number neighbors are 4807526976 and 7778742049.