100312133200 has 120 divisors (see below), whose sum is σ = 247204526360. Its totient is φ = 39103948800.

The previous prime is 100312133177. The next prime is 100312133219. The reversal of 100312133200 is 2331213001.

It can be written as a sum of positive squares in 12 ways, for example, as 14432658496 + 85879474704 = 120136^2 + 293052^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2640742 + ... + 2678458.

Almost surely, 2^100312133200 is an apocalyptic number.

100312133200 is a gapful number since it is divisible by the number (10) 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 100312133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123602263180).

100312133200 is an abundant number, since it is smaller than the sum of its proper divisors (146892393160).

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

100312133200 is a wasteful number, since it uses less digits than its factorization.

100312133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37905 (or 37894 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 100312133200 its reverse (2331213001), we get a palindrome (102643346201).

The spelling of 100312133200 in words is "one hundred billion, three hundred twelve million, one hundred thirty-three thousand, two hundred".