113506324136128 has 224 divisors, whose sum is σ = 293757913156608. Its totient is φ = 42194989056000.

The previous prime is 113506324136119. The next prime is 113506324136129. The reversal of 113506324136128 is 821631423605311.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (113506324136129) 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 31 ways as a sum of consecutive naturals, for example, 44202276 + ... + 46699612.

Almost surely, 2^{113506324136128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113506324136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146878956578304).

113506324136128 is an abundant number, since it is smaller than the sum of its proper divisors (180251589020480).

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

113506324136128 is a wasteful number, since it uses less digits than its factorization.

113506324136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2497791 (or 2497781 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 113506324136128 in words is "one hundred thirteen trillion, five hundred six billion, three hundred twenty-four million, one hundred thirty-six thousand, one hundred twenty-eight".