113200053120 has 1792 divisors, whose sum is σ = 531707950080. Its totient is φ = 22335160320.

The previous prime is 113200053017. The next prime is 113200053121. The reversal of 113200053120 is 21350002311.

113200053120 is a `hidden beast` number, since 1 + 132 + 0 + 0 + 0 + 531 + 2 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 113200053093 and 113200053102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200053121) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 826277692 + ... + 826277828.

Almost surely, 2^113200053120 is an apocalyptic number.

113200053120 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 113200053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265853975040).

113200053120 is an abundant number, since it is smaller than the sum of its proper divisors (418507896960).

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

113200053120 is a wasteful number, since it uses less digits than its factorization.

113200053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 113200053120 its reverse (21350002311), we get a palindrome (134550055431).

The spelling of 113200053120 in words is "one hundred thirteen billion, two hundred million, fifty-three thousand, one hundred twenty".