331334042100 has 144 divisors (see below), whose sum is σ = 1000572834240. Its totient is φ = 84574131200.

The previous prime is 331334042089. The next prime is 331334042101. The reversal of 331334042100 is 1240433133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331334042101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397771 + ... + 906029.

It is an arithmetic number, because the mean of its divisors is an integer number (6948422460).

Almost surely, 2^331334042100 is an apocalyptic number.

331334042100 is a gapful number since it is divisible by the number (30) 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 331334042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500286417120).

331334042100 is an abundant number, since it is smaller than the sum of its proper divisors (669238792140).

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

331334042100 is a wasteful number, since it uses less digits than its factorization.

331334042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508370 (or 508363 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 331334042100 its reverse (1240433133), we get a palindrome (332574475233).

The spelling of 331334042100 in words is "three hundred thirty-one billion, three hundred thirty-four million, forty-two thousand, one hundred".