12337972164013 has 2 divisors, whose sum is σ = 12337972164014. Its totient is φ = 12337972164012.

The previous prime is 12337972163963. The next prime is 12337972164017. The reversal of 12337972164013 is 31046127973321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8731303994884 + 3606668169129 = 2954878^2 + 1899123^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12337972164013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12337972164017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6168986082006 + 6168986082007.

It is an arithmetic number, because the mean of its divisors is an integer number (6168986082007).

Almost surely, 2^{12337972164013} is an apocalyptic number.

It is an amenable number.

12337972164013 is a deficient number, since it is larger than the sum of its proper divisors (1).

12337972164013 is an equidigital number, since it uses as much as digits as its factorization.

12337972164013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 49.

The spelling of 12337972164013 in words is "twelve trillion, three hundred thirty-seven billion, nine hundred seventy-two million, one hundred sixty-four thousand, thirteen".