113013513200000 has 768 divisors, whose sum is σ = 336211281100800. Its totient is φ = 37020672000000.

The previous prime is 113013513199997. The next prime is 113013513200099. The reversal of 113013513200000 is 2315310311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6857191760 + ... + 6857208240.

It is an arithmetic number, because the mean of its divisors is an integer number (437775105600).

Almost surely, 2^{113013513200000} is an apocalyptic number.

113013513200000 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 113013513200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168105640550400).

113013513200000 is an abundant number, since it is smaller than the sum of its proper divisors (223197767900800).

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

113013513200000 is an frugal number, since it uses more digits than its factorization.

113013513200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16637 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

Adding to 113013513200000 its reverse (2315310311), we get a palindrome (113015828510311).

The spelling of 113013513200000 in words is "one hundred thirteen trillion, thirteen billion, five hundred thirteen million, two hundred thousand".