131310011100013 has 2 divisors, whose sum is σ = 131310011100014. Its totient is φ = 131310011100012.

The previous prime is 131310011099977. The next prime is 131310011100043. The reversal of 131310011100013 is 310001110013131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105193802498409 + 26116208601604 = 10256403^2 + 5110402^2 .

It is an emirp because it is prime and its reverse (310001110013131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 131310011100013 - 2²⁵ = 131309977545581 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131310011100013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (131310011100043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65655005550006 + 65655005550007.

It is an arithmetic number, because the mean of its divisors is an integer number (65655005550007).

Almost surely, 2^{131310011100013} is an apocalyptic number.

It is an amenable number.

131310011100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

131310011100013 is an equidigital number, since it uses as much as digits as its factorization.

131310011100013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 131310011100013 its reverse (310001110013131), we get a palindrome (441311121113144).

The spelling of 131310011100013 in words is "one hundred thirty-one trillion, three hundred ten billion, eleven million, one hundred thousand, thirteen".