331123133000032 has 48 divisors (see below), whose sum is σ = 662108461120512. Its totient is φ = 162975856256640.

The previous prime is 331123133000021. The next prime is 331123133000039. The reversal of 331123133000032 is 230000331321133.

It is a super-3 number, since 3×331123133000032³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331123132999970 and 331123133000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331123133000039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111867888 + ... + 114789679.

It is an arithmetic number, because the mean of its divisors is an integer number (13793926273344).

Almost surely, 2^{331123133000032} is an apocalyptic number.

331123133000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331123133000032 is a deficient number, since it is larger than the sum of its proper divisors (330985328120480).

331123133000032 is a wasteful number, since it uses less digits than its factorization.

331123133000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226658291 (or 226658283 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 331123133000032 its reverse (230000331321133), we get a palindrome (561123464321165).

The spelling of 331123133000032 in words is "three hundred thirty-one trillion, one hundred twenty-three billion, one hundred thirty-three million, thirty-two", and thus it is an aban number.