331331042032 has 80 divisors (see below), whose sum is σ = 684460834560. Its totient is φ = 154834504704.

The previous prime is 331331042023. The next prime is 331331042039. The reversal of 331331042032 is 230240133133.

It is a junction number, because it is equal to n+sod(n) for n = 331331041988 and 331331042006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331331042039) 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, 38313133 + ... + 38321779.

It is an arithmetic number, because the mean of its divisors is an integer number (8555760432).

Almost surely, 2^331331042032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331331042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342230417280).

331331042032 is an abundant number, since it is smaller than the sum of its proper divisors (353129792528).

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

331331042032 is a wasteful number, since it uses less digits than its factorization.

331331042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9632 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 331331042032 its reverse (230240133133), we get a palindrome (561571175165).

The spelling of 331331042032 in words is "three hundred thirty-one billion, three hundred thirty-one million, forty-two thousand, thirty-two".