113353200400 has 120 divisors (see below), whose sum is σ = 298041218784. Its totient is φ = 41087155200.

The previous prime is 113353200383. The next prime is 113353200403. The reversal of 113353200400 is 4002353311.

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 (113353200403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1336047 + ... + 1418353.

Almost surely, 2^113353200400 is an apocalyptic number.

113353200400 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 113353200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149020609392).

113353200400 is an abundant number, since it is smaller than the sum of its proper divisors (184688018384).

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

113353200400 is a wasteful number, since it uses less digits than its factorization.

113353200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82649 (or 82638 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 113353200400 its reverse (4002353311), we get a palindrome (117355553711).

The spelling of 113353200400 in words is "one hundred thirteen billion, three hundred fifty-three million, two hundred thousand, four hundred".