331123133232 has 120 divisors (see below), whose sum is σ = 981918978560. Its totient is φ = 103872585600.

The previous prime is 331123133189. The next prime is 331123133261. The reversal of 331123133232 is 232331321133.

331123133232 is a `hidden beast` number, since 3 + 3 + 112 + 313 + 3 + 232 = 666.

It is a super-2 number, since 2×331123133232² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 331123133196 and 331123133205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12393 + ... + 813879.

Almost surely, 2^331123133232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331123133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490959489280).

331123133232 is an abundant number, since it is smaller than the sum of its proper divisors (650795845328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331123133232 is a wasteful number, since it uses less digits than its factorization.

331123133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801671 (or 801662 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 331123133232 its reverse (232331321133), we get a palindrome (563454454365).

The spelling of 331123133232 in words is "three hundred thirty-one billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty-two".