13137852137 has 2 divisors, whose sum is σ = 13137852138. Its totient is φ = 13137852136.

The previous prime is 13137852073. The next prime is 13137852151. The reversal of 13137852137 is 73125873131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7829418256 + 5308433881 = 88484^2 + 72859^2 .

It is a cyclic number.

It is not a de Polignac number, because 13137852137 - 2⁶ = 13137852073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13137852094 and 13137852103.

It is not a weakly prime, because it can be changed into another prime (13137852437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6568926068 + 6568926069.

It is an arithmetic number, because the mean of its divisors is an integer number (6568926069).

Almost surely, 2^13137852137 is an apocalyptic number.

It is an amenable number.

13137852137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13137852137 is an equidigital number, since it uses as much as digits as its factorization.

13137852137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 41.

The spelling of 13137852137 in words is "thirteen billion, one hundred thirty-seven million, eight hundred fifty-two thousand, one hundred thirty-seven".