100331213212032 has 256 divisors, whose sum is σ = 316154261306880. Its totient is φ = 27841584660480.

The previous prime is 100331213211997. The next prime is 100331213212073. The reversal of 100331213212032 is 230212312133001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100331213211993 and 100331213212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16224388 + ... + 21538179.

It is an arithmetic number, because the mean of its divisors is an integer number (1234977583230).

Almost surely, 2^{100331213212032} is an apocalyptic number.

100331213212032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100331213212032 is an abundant number, since it is smaller than the sum of its proper divisors (215823048094848).

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

100331213212032 is a wasteful number, since it uses less digits than its factorization.

100331213212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37762649 (or 37762637 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100331213212032 its reverse (230212312133001), we get a palindrome (330543525345033).

The spelling of 100331213212032 in words is "one hundred trillion, three hundred thirty-one billion, two hundred thirteen million, two hundred twelve thousand, thirty-two".