131413340431013 has 2 divisors, whose sum is σ = 131413340431014. Its totient is φ = 131413340431012.

The previous prime is 131413340430971. The next prime is 131413340431097. The reversal of 131413340431013 is 310134043314131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128184106272964 + 3229234158049 = 11321842^2 + 1797007^2 .

It is a cyclic number.

It is not a de Polignac number, because 131413340431013 - 2²² = 131413336236709 is a prime.

It is a super-2 number, since 2×131413340431013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131413340431213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65706670215506 + 65706670215507.

It is an arithmetic number, because the mean of its divisors is an integer number (65706670215507).

Almost surely, 2^{131413340431013} is an apocalyptic number.

It is an amenable number.

131413340431013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131413340431013 is an equidigital number, since it uses as much as digits as its factorization.

131413340431013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 32.

Adding to 131413340431013 its reverse (310134043314131), we get a palindrome (441547383745144).

The spelling of 131413340431013 in words is "one hundred thirty-one trillion, four hundred thirteen billion, three hundred forty million, four hundred thirty-one thousand, thirteen".