12331011012137 has 2 divisors, whose sum is σ = 12331011012138. Its totient is φ = 12331011012136.

The previous prime is 12331011012101. The next prime is 12331011012241. The reversal of 12331011012137 is 73121011013321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12138890096281 + 192120915856 = 3484091^2 + 438316^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12331011012137 is a prime.

It is a super-2 number, since 2×12331011012137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12331011012937) 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, 6165505506068 + 6165505506069.

It is an arithmetic number, because the mean of its divisors is an integer number (6165505506069).

Almost surely, 2^{12331011012137} is an apocalyptic number.

It is an amenable number.

12331011012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331011012137 is an equidigital number, since it uses as much as digits as its factorization.

12331011012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 26.

Adding to 12331011012137 its reverse (73121011013321), we get a palindrome (85452022025458).

The spelling of 12331011012137 in words is "twelve trillion, three hundred thirty-one billion, eleven million, twelve thousand, one hundred thirty-seven".