100213113300 has 144 divisors (see below), whose sum is σ = 300292780032. Its totient is φ = 25786275200.

The previous prime is 100213113233. The next prime is 100213113307. The reversal of 100213113300 is 3311312001.

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 100213113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213113307) 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, 951049 + ... + 1051151.

It is an arithmetic number, because the mean of its divisors is an integer number (2085366528).

Almost surely, 2^100213113300 is an apocalyptic number.

100213113300 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 100213113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150146390016).

100213113300 is an abundant number, since it is smaller than the sum of its proper divisors (200079666732).

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

100213113300 is a wasteful number, since it uses less digits than its factorization.

100213113300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100238 (or 100231 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100213113300 its reverse (3311312001), we get a palindrome (103524425301).

The spelling of 100213113300 in words is "one hundred billion, two hundred thirteen million, one hundred thirteen thousand, three hundred".