331220022133 has 32 divisors (see below), whose sum is σ = 459060682752. Its totient is φ = 230554987200.

The previous prime is 331220022127. The next prime is 331220022151.

331220022133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331220022133 - 2²⁵ = 331186467701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331220022103) 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 31 ways as a sum of consecutive naturals, for example, 5305891 + ... + 5367952.

It is an arithmetic number, because the mean of its divisors is an integer number (14345646336).

Almost surely, 2^331220022133 is an apocalyptic number.

It is an amenable number.

331220022133 is a deficient number, since it is larger than the sum of its proper divisors (127840660619).

331220022133 is a wasteful number, since it uses less digits than its factorization.

331220022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10673905.

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 3312200 and 22133, that added together give a palindrome (3334333).

The spelling of 331220022133 in words is "three hundred thirty-one billion, two hundred twenty million, twenty-two thousand, one hundred thirty-three".