113314304000 has 104 divisors (see below), whose sum is σ = 282799255128. Its totient is φ = 45325516800.

The previous prime is 113314303979. The next prime is 113314304063. The reversal of 113314304000 is 403413311.

It can be written as a sum of positive squares in 4 ways, for example, as 14848884736 + 98465419264 = 121856^2 + 313792^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 401342 + ... + 622658.

It is an arithmetic number, because the mean of its divisors is an integer number (2719223607).

Almost surely, 2^113314304000 is an apocalyptic number.

113314304000 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 113314304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141399627564).

113314304000 is an abundant number, since it is smaller than the sum of its proper divisors (169484951128).

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

113314304000 is an frugal number, since it uses more digits than its factorization.

113314304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221356 (or 221324 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 113314304000 its reverse (403413311), we get a palindrome (113717717311).

The spelling of 113314304000 in words is "one hundred thirteen billion, three hundred fourteen million, three hundred four thousand".