13321012331 has 12 divisors (see below), whose sum is σ = 14697812976. Its totient is φ = 12063936720.

The previous prime is 13321012321. The next prime is 13321012363.

13321012331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13321012331 - 2¹⁰ = 13321011307 is a prime.

It is a super-2 number, since 2×13321012331² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13321012301) 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 11 ways as a sum of consecutive naturals, for example, 177476 + ... + 241121.

It is an arithmetic number, because the mean of its divisors is an integer number (1224817748).

Almost surely, 2^13321012331 is an apocalyptic number.

13321012331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13321012331 is a deficient number, since it is larger than the sum of its proper divisors (1376800645).

13321012331 is a wasteful number, since it uses less digits than its factorization.

13321012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418882 (or 418871 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 133210 and 12331, that added together give a palindrome (145541).

The spelling of 13321012331 in words is "thirteen billion, three hundred twenty-one million, twelve thousand, three hundred thirty-one".