113014230403200 has 384 divisors, whose sum is σ = 425600791413120. Its totient is φ = 25820715909120.

The previous prime is 113014230403181. The next prime is 113014230403229. The reversal of 113014230403200 is 2304032410311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156417172 + ... + 157138028.

It is an arithmetic number, because the mean of its divisors is an integer number (1108335394305).

Almost surely, 2^{113014230403200} is an apocalyptic number.

113014230403200 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 113014230403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212800395706560).

113014230403200 is an abundant number, since it is smaller than the sum of its proper divisors (312586561009920).

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

113014230403200 is a wasteful number, since it uses less digits than its factorization.

113014230403200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723224 (or 723207 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 113014230403200 its reverse (2304032410311), we get a palindrome (115318262813511).

The spelling of 113014230403200 in words is "one hundred thirteen trillion, fourteen billion, two hundred thirty million, four hundred three thousand, two hundred".