137711105117 has 2 divisors, whose sum is σ = 137711105118. Its totient is φ = 137711105116.

The previous prime is 137711105107. The next prime is 137711105137. The reversal of 137711105117 is 711501117731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107816349316 + 29894755801 = 328354^2 + 172901^2 .

It is a cyclic number.

It is not a de Polignac number, because 137711105117 - 2⁴ = 137711105101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137711105107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68855552558 + 68855552559.

It is an arithmetic number, because the mean of its divisors is an integer number (68855552559).

Almost surely, 2^137711105117 is an apocalyptic number.

It is an amenable number.

137711105117 is a deficient number, since it is larger than the sum of its proper divisors (1).

137711105117 is an equidigital number, since it uses as much as digits as its factorization.

137711105117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5145, while the sum is 35.

The spelling of 137711105117 in words is "one hundred thirty-seven billion, seven hundred eleven million, one hundred five thousand, one hundred seventeen".