331132112100 has 288 divisors, whose sum is σ = 1141708176000. Its totient is φ = 82075368960.

The previous prime is 331132112033. The next prime is 331132112107. The reversal of 331132112100 is 1211231133.

331132112100 is a `hidden beast` number, since 331 + 1 + 321 + 1 + 2 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331132112107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2658006 + ... + 2779794.

It is an arithmetic number, because the mean of its divisors is an integer number (3964264500).

Almost surely, 2^331132112100 is an apocalyptic number.

331132112100 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 331132112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570854088000).

331132112100 is an abundant number, since it is smaller than the sum of its proper divisors (810576063900).

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

331132112100 is a wasteful number, since it uses less digits than its factorization.

331132112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121884 (or 121871 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331132112100 its reverse (1211231133), we get a palindrome (332343343233).

The spelling of 331132112100 in words is "three hundred thirty-one billion, one hundred thirty-two million, one hundred twelve thousand, one hundred".