13213355331231 has 24 divisors (see below), whose sum is σ = 20821424457600. Its totient is φ = 8007948104400.

The previous prime is 13213355331217. The next prime is 13213355331233.

13213355331231 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 335 + 5 + 3 + 312 + 3 + 1 = 666.

13213355331231 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13213355331231 - 2⁷ = 13213355331103 is a prime.

It is a super-2 number, since 2×13213355331231² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213355331233) 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 23 ways as a sum of consecutive naturals, for example, 4368070 + ... + 6745868.

It is an arithmetic number, because the mean of its divisors is an integer number (867559352400).

Almost surely, 2^{13213355331231} is an apocalyptic number.

13213355331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13213355331231 is a deficient number, since it is larger than the sum of its proper divisors (7608069126369).

13213355331231 is a wasteful number, since it uses less digits than its factorization.

13213355331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433947 (or 2433944 counting only the distinct ones).

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

It can be divided in two parts, 1321335 and 5331231, that added together give a palindrome (6652566).

The spelling of 13213355331231 in words is "thirteen trillion, two hundred thirteen billion, three hundred fifty-five million, three hundred thirty-one thousand, two hundred thirty-one".