13331310111313 has 4 divisors (see below), whose sum is σ = 13389525439540. Its totient is φ = 13273094783088.

The previous prime is 13331310111289. The next prime is 13331310111323. The reversal of 13331310111313 is 31311101313331.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 11286959194449 + 2044350916864 = 3359607^2 + 1429808^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331310111313 - 2²⁹ = 13330773240401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331310111323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29107663770 + ... + 29107664227.

It is an arithmetic number, because the mean of its divisors is an integer number (3347381359885).

Almost surely, 2^{13331310111313} is an apocalyptic number.

It is an amenable number.

13331310111313 is a deficient number, since it is larger than the sum of its proper divisors (58215328227).

13331310111313 is an equidigital number, since it uses as much as digits as its factorization.

13331310111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58215328226.

The product of its (nonzero) digits is 729, while the sum is 25.

Adding to 13331310111313 its reverse (31311101313331), we get a palindrome (44642411424644).

The spelling of 13331310111313 in words is "thirteen trillion, three hundred thirty-one billion, three hundred ten million, one hundred eleven thousand, three hundred thirteen".