131403310431013 has 2 divisors, whose sum is σ = 131403310431014. Its totient is φ = 131403310431012.

The previous prime is 131403310431007. The next prime is 131403310431073. The reversal of 131403310431013 is 310134013304131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128451916997569 + 2951393433444 = 11333663^2 + 1717962^2 .

It is a cyclic number.

It is not a de Polignac number, because 131403310431013 - 2²⁵ = 131403276876581 is a prime.

It is a super-3 number, since 3×131403310431013³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131403310431073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65701655215506 + 65701655215507.

It is an arithmetic number, because the mean of its divisors is an integer number (65701655215507).

Almost surely, 2^{131403310431013} is an apocalyptic number.

It is an amenable number.

131403310431013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131403310431013 is an equidigital number, since it uses as much as digits as its factorization.

131403310431013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 131403310431013 its reverse (310134013304131), we get a palindrome (441537323735144).

The spelling of 131403310431013 in words is "one hundred thirty-one trillion, four hundred three billion, three hundred ten million, four hundred thirty-one thousand, thirteen".