113101344400 has 240 divisors, whose sum is σ = 304977855168. Its totient is φ = 39958272000.

The previous prime is 113101344347. The next prime is 113101344407. The reversal of 113101344400 is 4443101311.

It is a happy number.

It is a super-2 number, since 2×113101344400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (113101344407) 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, 22274662 + ... + 22279738.

Almost surely, 2^113101344400 is an apocalyptic number.

113101344400 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 113101344400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152488927584).

113101344400 is an abundant number, since it is smaller than the sum of its proper divisors (191876510768).

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

113101344400 is a wasteful number, since it uses less digits than its factorization.

113101344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 113101344400 its reverse (4443101311), we get a palindrome (117544445711).

The spelling of 113101344400 in words is "one hundred thirteen billion, one hundred one million, three hundred forty-four thousand, four hundred".