100213131120 has 120 divisors (see below), whose sum is σ = 312748764048. Its totient is φ = 26545075200.

The previous prime is 100213131101. The next prime is 100213131143. The reversal of 100213131120 is 21131312001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100213131120.

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, 5463084 + ... + 5481396.

Almost surely, 2^100213131120 is an apocalyptic number.

100213131120 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 100213131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156374382024).

100213131120 is an abundant number, since it is smaller than the sum of its proper divisors (212535632928).

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

100213131120 is a wasteful number, since it uses less digits than its factorization.

100213131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18631 (or 18474 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 100213131120 its reverse (21131312001), we get a palindrome (121344443121).

The spelling of 100213131120 in words is "one hundred billion, two hundred thirteen million, one hundred thirty-one thousand, one hundred twenty".