113343333303200 has 1152 divisors, whose sum is σ = 378223067174400. Its totient is φ = 32023019520000.

The previous prime is 113343333303169. The next prime is 113343333303227. The reversal of 113343333303200 is 2303333343311.

It is a happy number.

It is a super-2 number, since 2×113343333303200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37173935276 + ... + 37173938324.

It is an arithmetic number, because the mean of its divisors is an integer number (328318634700).

Almost surely, 2^{113343333303200} is an apocalyptic number.

113343333303200 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 113343333303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189111533587200).

113343333303200 is an abundant number, since it is smaller than the sum of its proper divisors (264879733871200).

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

113343333303200 is a wasteful number, since it uses less digits than its factorization.

113343333303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3922 (or 3909 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 32.

Adding to 113343333303200 its reverse (2303333343311), we get a palindrome (115646666646511).

The spelling of 113343333303200 in words is "one hundred thirteen trillion, three hundred forty-three billion, three hundred thirty-three million, three hundred three thousand, two hundred".