131321012013137 has 2 divisors, whose sum is σ = 131321012013138. Its totient is φ = 131321012013136.

The previous prime is 131321012013089. The next prime is 131321012013203. The reversal of 131321012013137 is 731310210123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 125840024008336 + 5480988004801 = 11217844^2 + 2341151^2 .

It is a cyclic number.

It is not a de Polignac number, because 131321012013137 - 2⁶ = 131321012013073 is a prime.

It is not a weakly prime, because it can be changed into another prime (131321012073137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65660506006568 + 65660506006569.

It is an arithmetic number, because the mean of its divisors is an integer number (65660506006569).

Almost surely, 2^{131321012013137} is an apocalyptic number.

It is an amenable number.

131321012013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

131321012013137 is an equidigital number, since it uses as much as digits as its factorization.

131321012013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

Adding to 131321012013137 its reverse (731310210123131), we get a palindrome (862631222136268).

The spelling of 131321012013137 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, twelve million, thirteen thousand, one hundred thirty-seven".