331023122001 has 192 divisors, whose sum is σ = 631353864960. Its totient is φ = 165095884800.

The previous prime is 331023121997. The next prime is 331023122021. The reversal of 331023122001 is 100221320133.

331023122001 is a `hidden beast` number, since 331 + 0 + 2 + 312 + 20 + 0 + 1 = 666.

It is not a de Polignac number, because 331023122001 - 2² = 331023121997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331023122021) 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 191 ways as a sum of consecutive naturals, for example, 50296531 + ... + 50303111.

It is an arithmetic number, because the mean of its divisors is an integer number (3288301380).

Almost surely, 2^331023122001 is an apocalyptic number.

It is an amenable number.

331023122001 is a deficient number, since it is larger than the sum of its proper divisors (300330742959).

331023122001 is a wasteful number, since it uses less digits than its factorization.

331023122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6669 (or 6644 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331023122001 its reverse (100221320133), we get a palindrome (431244442134).

The spelling of 331023122001 in words is "three hundred thirty-one billion, twenty-three million, one hundred twenty-two thousand, one".