100113111313200 has 420 divisors, whose sum is σ = 360659938652640. Its totient is φ = 26693699765760.

The previous prime is 100113111313169. The next prime is 100113111313207. The reversal of 100113111313200 is 2313111311001.

100113111313200 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 311 + 1 + 31 + 320 + 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 (100113111313207) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3577626409 + ... + 3577654391.

Almost surely, 2^{100113111313200} is an apocalyptic number.

100113111313200 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 100113111313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180329969326320).

100113111313200 is an abundant number, since it is smaller than the sum of its proper divisors (260546827339440).

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

100113111313200 is a wasteful number, since it uses less digits than its factorization.

100113111313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40288 (or 40262 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 100113111313200 its reverse (2313111311001), we get a palindrome (102426222624201).

The spelling of 100113111313200 in words is "one hundred trillion, one hundred thirteen billion, one hundred eleven million, three hundred thirteen thousand, two hundred".