13 × 29 × 71 × 141961
1, 13, 29, 71, 377, 923, 2059, 26767, 141961, 1845493, 4116869, 10079231, 53519297, 131030003, 292297699 and 3799870087
No.
Its nearest Fibonacci number neighbors are 2971215073 and 4807526976.