13122333322131 has 32 divisors (see below), whose sum is σ = 19917275788800. Its totient is φ = 7607006668800.

The previous prime is 13122333322099. The next prime is 13122333322157.

13122333322131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13122333322131 - 2⁵ = 13122333322099 is a prime.

It is a super-2 number, since 2×13122333322131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122333722131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50685171 + ... + 50943411.

It is an arithmetic number, because the mean of its divisors is an integer number (622414868400).

Almost surely, 2^{13122333322131} is an apocalyptic number.

13122333322131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122333322131 is a deficient number, since it is larger than the sum of its proper divisors (6794942466669).

13122333322131 is a wasteful number, since it uses less digits than its factorization.

13122333322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325227.

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

It can be divided in two parts, 1312233 and 3322131, that added together give a palindrome (4634364).

The spelling of 13122333322131 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, one hundred thirty-one".