133222343222331 has 72 divisors (see below), whose sum is σ = 224340160170672. Its totient is φ = 75861891072000.

The previous prime is 133222343222317. The next prime is 133222343222389.

133222343222331 is a `hidden beast` number, since 1 + 3 + 322 + 2 + 3 + 4 + 322 + 2 + 3 + 3 + 1 = 666.

133222343222331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133222343222331 - 2⁵ = 133222343222299 is a prime.

It is a super-2 number, since 2×133222343222331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133222343222431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4737531 + ... + 16996731.

It is an arithmetic number, because the mean of its divisors is an integer number (3115835557926).

Almost surely, 2^{133222343222331} is an apocalyptic number.

133222343222331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133222343222331 is a deficient number, since it is larger than the sum of its proper divisors (91117816948341).

133222343222331 is a wasteful number, since it uses less digits than its factorization.

133222343222331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12259833 (or 12259819 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 133222343222331 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, three hundred forty-three million, two hundred twenty-two thousand, three hundred thirty-one".