7 × 11 × 239 × 909091
1, 7, 11, 77, 239, 1673, 2629, 18403, 909091, 6363637, 10000001, 70000007, 217272749, 1520909243, 2390000239 and 16730001673
No.
Its nearest Fibonacci number neighbors are 12586269025 and 20365011074.