113131323141013 has 2 divisors, whose sum is σ = 113131323141014. Its totient is φ = 113131323141012.

The previous prime is 113131323140917. The next prime is 113131323141029. The reversal of 113131323141013 is 310141323131311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69344291691684 + 43787031449329 = 8327322^2 + 6617177^2 .

It is a cyclic number.

It is not a de Polignac number, because 113131323141013 - 2⁹ = 113131323140501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113131323141073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56565661570506 + 56565661570507.

It is an arithmetic number, because the mean of its divisors is an integer number (56565661570507).

Almost surely, 2^{113131323141013} is an apocalyptic number.

It is an amenable number.

113131323141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113131323141013 is an equidigital number, since it uses as much as digits as its factorization.

113131323141013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 28.

Adding to 113131323141013 its reverse (310141323131311), we get a palindrome (423272646272324).

The spelling of 113131323141013 in words is "one hundred thirteen trillion, one hundred thirty-one billion, three hundred twenty-three million, one hundred forty-one thousand, thirteen".