331001313032 has 64 divisors (see below), whose sum is σ = 671879226480. Its totient is φ = 151969416192.

The previous prime is 331001312981. The next prime is 331001313047. The reversal of 331001313032 is 230313100133.

It can be written as a sum of positive squares in 8 ways, for example, as 64214600836 + 266786712196 = 253406^2 + 516514^2 .

It is a junction number, because it is equal to n+sod(n) for n = 331001312995 and 331001313013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15389678 + ... + 15411170.

Almost surely, 2^331001313032 is an apocalyptic number.

It is an amenable number.

331001313032 is an abundant number, since it is smaller than the sum of its proper divisors (340877913448).

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

331001313032 is a wasteful number, since it uses less digits than its factorization.

331001313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22282 (or 22278 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 331001313032 its reverse (230313100133), we get a palindrome (561314413165).

The spelling of 331001313032 in words is "three hundred thirty-one billion, one million, three hundred thirteen thousand, thirty-two".