113123223330120 has 384 divisors, whose sum is σ = 393246112896000. Its totient is φ = 28118304023040.

The previous prime is 113123223330079. The next prime is 113123223330151. The reversal of 113123223330120 is 21033322321311.

113123223330120 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 322 + 3 + 330 + 1 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 384349815 + ... + 384644025.

It is an arithmetic number, because the mean of its divisors is an integer number (1024078419000).

Almost surely, 2^{113123223330120} is an apocalyptic number.

113123223330120 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 113123223330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196623056448000).

113123223330120 is an abundant number, since it is smaller than the sum of its proper divisors (280122889565880).

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

113123223330120 is a wasteful number, since it uses less digits than its factorization.

113123223330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295153 (or 295146 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113123223330120 its reverse (21033322321311), we get a palindrome (134156545651431).

The spelling of 113123223330120 in words is "one hundred thirteen trillion, one hundred twenty-three billion, two hundred twenty-three million, three hundred thirty thousand, one hundred twenty".