113402112300 has 216 divisors, whose sum is σ = 369176371200. Its totient is φ = 29094860160.

The previous prime is 113402112251. The next prime is 113402112319. The reversal of 113402112300 is 3211204311.

113402112300 is a `hidden beast` number, since 1 + 1 + 340 + 21 + 1 + 2 + 300 = 666.

It is a super-2 number, since 2×113402112300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 71 ways as a sum of consecutive naturals, for example, 2472981 + ... + 2518419.

Almost surely, 2^113402112300 is an apocalyptic number.

113402112300 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 113402112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184588185600).

113402112300 is an abundant number, since it is smaller than the sum of its proper divisors (255774258900).

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

113402112300 is a wasteful number, since it uses less digits than its factorization.

113402112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565 (or 45555 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 113402112300 its reverse (3211204311), we get a palindrome (116613316611).

The spelling of 113402112300 in words is "one hundred thirteen billion, four hundred two million, one hundred twelve thousand, three hundred".