331012032032 has 96 divisors (see below), whose sum is σ = 731988290880. Its totient is φ = 146022497280.

The previous prime is 331012032011. The next prime is 331012032037. The reversal of 331012032032 is 230230210133.

It is a junction number, because it is equal to n+sod(n) for n = 331012031995 and 331012032013.

It is not an unprimeable number, because it can be changed into a prime (331012032037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5138519 + ... + 5202537.

It is an arithmetic number, because the mean of its divisors is an integer number (7624878030).

Almost surely, 2^331012032032 is an apocalyptic number.

331012032032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331012032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365994145440).

331012032032 is an abundant number, since it is smaller than the sum of its proper divisors (400976258848).

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

331012032032 is a wasteful number, since it uses less digits than its factorization.

331012032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64474 (or 64466 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 331012032032 its reverse (230230210133), we get a palindrome (561242242165).

The spelling of 331012032032 in words is "three hundred thirty-one billion, twelve million, thirty-two thousand, thirty-two".