331132000032 has 36 divisors (see below), whose sum is σ = 941656625910. Its totient is φ = 110377333248.

The previous prime is 331132000007. The next prime is 331132000037. The reversal of 331132000032 is 230000231133.

331132000032 is a `hidden beast` number, since 3 + 311 + 320 + 0 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 330712405776 + 419594256 = 575076^2 + 20484^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331131999969 and 331132000014.

It is not an unprimeable number, because it can be changed into a prime (331132000037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 574881657 + ... + 574882232.

Almost surely, 2^331132000032 is an apocalyptic number.

331132000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331132000032 is an abundant number, since it is smaller than the sum of its proper divisors (610524625878).

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

331132000032 is a wasteful number, since it uses less digits than its factorization.

331132000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149763905 (or 1149763894 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 331132000032 its reverse (230000231133), we get a palindrome (561132231165).

The spelling of 331132000032 in words is "three hundred thirty-one billion, one hundred thirty-two million, thirty-two", and thus it is an aban number.