113424232320 has 384 divisors, whose sum is σ = 448223855040. Its totient is φ = 25890619392.

The previous prime is 113424232289. The next prime is 113424232321. The reversal of 113424232320 is 23232424311.

113424232320 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 2 + 423 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113424232321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40842772 + ... + 40845548.

Almost surely, 2^113424232320 is an apocalyptic number.

113424232320 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 113424232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224111927520).

113424232320 is an abundant number, since it is smaller than the sum of its proper divisors (334799622720).

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

113424232320 is a wasteful number, since it uses less digits than its factorization.

113424232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 113424232320 its reverse (23232424311), we get a palindrome (136656656631).

It can be divided in two parts, 113424 and 232320, that added together give a square (345744 = 588²).

The spelling of 113424232320 in words is "one hundred thirteen billion, four hundred twenty-four million, two hundred thirty-two thousand, three hundred twenty".