13321133112331 has 32 divisors (see below), whose sum is σ = 14624064000000. Its totient is φ = 12033770165760.

The previous prime is 13321133112323. The next prime is 13321133112337.

It is a happy number.

13321133112331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13321133112331 - 2³ = 13321133112323 is a prime.

It is a super-2 number, since 2×13321133112331² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13321133112331.

It is not an unprimeable number, because it can be changed into a prime (13321133112337) 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 31 ways as a sum of consecutive naturals, for example, 2865373695 + ... + 2865378343.

It is an arithmetic number, because the mean of its divisors is an integer number (457002000000).

Almost surely, 2^{13321133112331} is an apocalyptic number.

13321133112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321133112331 is a deficient number, since it is larger than the sum of its proper divisors (1302930887669).

13321133112331 is a wasteful number, since it uses less digits than its factorization.

13321133112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6987.

The product of its digits is 2916, while the sum is 28.

It can be divided in two parts, 1332113 and 3112331, that added together give a palindrome (4444444).

The spelling of 13321133112331 in words is "thirteen trillion, three hundred twenty-one billion, one hundred thirty-three million, one hundred twelve thousand, three hundred thirty-one".