332133222331233 has 96 divisors (see below), whose sum is σ = 493988967343872. Its totient is φ = 214976975616000.

The previous prime is 332133222331231. The next prime is 332133222331289.

It is a happy number.

332133222331233 is a `hidden beast` number, since 3 + 3 + 2 + 1 + 332 + 2 + 2 + 3 + 312 + 3 + 3 = 666.

332133222331233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332133222331233 - 2¹ = 332133222331231 is a prime.

It is a super-2 number, since 2×332133222331233² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332133222331231) 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 95 ways as a sum of consecutive naturals, for example, 7760644591 + ... + 7760687387.

It is an arithmetic number, because the mean of its divisors is an integer number (5145718409832).

Almost surely, 2^{332133222331233} is an apocalyptic number.

It is an amenable number.

332133222331233 is a deficient number, since it is larger than the sum of its proper divisors (161855745012639).

332133222331233 is a wasteful number, since it uses less digits than its factorization.

332133222331233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43735 (or 43732 counting only the distinct ones).

The product of its digits is 209952, while the sum is 36.

The spelling of 332133222331233 in words is "three hundred thirty-two trillion, one hundred thirty-three billion, two hundred twenty-two million, three hundred thirty-one thousand, two hundred thirty-three".