13313044031331 has 32 divisors (see below), whose sum is σ = 20043808888320. Its totient is φ = 7785759430400.

The previous prime is 13313044031249. The next prime is 13313044031393.

13313044031331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13313044031331 - 2³⁰ = 13311970289507 is a prime.

It is a super-2 number, since 2×13313044031331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13313044031531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2394615 + ... + 5688608.

It is an arithmetic number, because the mean of its divisors is an integer number (626369027760).

Almost surely, 2^{13313044031331} is an apocalyptic number.

13313044031331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13313044031331 is a deficient number, since it is larger than the sum of its proper divisors (6730764856989).

13313044031331 is a wasteful number, since it uses less digits than its factorization.

13313044031331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084987.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 1331304 and 4031331, that added together give a palindrome (5362635).

The spelling of 13313044031331 in words is "thirteen trillion, three hundred thirteen billion, forty-four million, thirty-one thousand, three hundred thirty-one".