320133121331023 has 48 divisors (see below), whose sum is σ = 434114079558208. Its totient is φ = 229718629324800.

The previous prime is 320133121331003. The next prime is 320133121331039.

It is a happy number.

320133121331023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320133121331023 - 2⁹ = 320133121330511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320133121330982 and 320133121331000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320133121331003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29893986 + ... + 39165247.

Almost surely, 2^{320133121331023} is an apocalyptic number.

320133121331023 is a deficient number, since it is larger than the sum of its proper divisors (113980958227185).

320133121331023 is a wasteful number, since it uses less digits than its factorization.

320133121331023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69059696 (or 69059685 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

The spelling of 320133121331023 in words is "three hundred twenty trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred thirty-one thousand, twenty-three".