331312112032 has 96 divisors (see below), whose sum is σ = 722995326144. Its totient is φ = 148182988800.

The previous prime is 331312112011. The next prime is 331312112119. The reversal of 331312112032 is 230211213133.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 331312111994 and 331312112012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22468182 + ... + 22482922.

It is an arithmetic number, because the mean of its divisors is an integer number (7531201314).

Almost surely, 2^331312112032 is an apocalyptic number.

331312112032 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 331312112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361497663072).

331312112032 is an abundant number, since it is smaller than the sum of its proper divisors (391683214112).

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

331312112032 is a wasteful number, since it uses less digits than its factorization.

331312112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 15774 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331312112032 its reverse (230211213133), we get a palindrome (561523325165).

It can be divided in two parts, 331312 and 112032, that added together give a palindrome (443344).

The spelling of 331312112032 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred twelve thousand, thirty-two".