13321355312331 has 192 divisors, whose sum is σ = 22296890603520. Its totient is φ = 7592177848320.

The previous prime is 13321355312329. The next prime is 13321355312351.

13321355312331 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 3 + 5 + 5 + 312 + 331 = 666.

13321355312331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13321355312331 - 2¹ = 13321355312329 is a prime.

It is a super-2 number, since 2×13321355312331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13321355312351) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2894057076 + ... + 2894061678.

It is an arithmetic number, because the mean of its divisors is an integer number (116129638560).

Almost surely, 2^{13321355312331} is an apocalyptic number.

13321355312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321355312331 is a deficient number, since it is larger than the sum of its proper divisors (8975535291189).

13321355312331 is a wasteful number, since it uses less digits than its factorization.

13321355312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4943 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

It can be divided in two parts, 1332135 and 5312331, that added together give a palindrome (6644466).

The spelling of 13321355312331 in words is "thirteen trillion, three hundred twenty-one billion, three hundred fifty-five million, three hundred twelve thousand, three hundred thirty-one".