131321213011013 has 2 divisors, whose sum is σ = 131321213011014. Its totient is φ = 131321213011012.

The previous prime is 131321213011003. The next prime is 131321213011139. The reversal of 131321213011013 is 310110312123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76352067293089 + 54969145717924 = 8737967^2 + 7414118^2 .

It is a cyclic number.

It is not a de Polignac number, because 131321213011013 - 2⁴⁶ = 60952468833349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131321213011013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131321213011003) 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, 65660606505506 + 65660606505507.

It is an arithmetic number, because the mean of its divisors is an integer number (65660606505507).

Almost surely, 2^{131321213011013} is an apocalyptic number.

It is an amenable number.

131321213011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131321213011013 is an equidigital number, since it uses as much as digits as its factorization.

131321213011013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 131321213011013 its reverse (310110312123131), we get a palindrome (441431525134144).

The spelling of 131321213011013 in words is "one hundred thirty-one trillion, three hundred twenty-one billion, two hundred thirteen million, eleven thousand, thirteen".