113538050120320 has 384 divisors, whose sum is σ = 325142790888960. Its totient is φ = 37779795615744.

The previous prime is 113538050120267. The next prime is 113538050120347. The reversal of 113538050120320 is 23021050835311.

It is a super-4 number, since 4×113538050120320⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211443217 + ... + 211979503.

It is an arithmetic number, because the mean of its divisors is an integer number (846726017940).

Almost surely, 2^{113538050120320} is an apocalyptic number.

113538050120320 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 113538050120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162571395444480).

113538050120320 is an abundant number, since it is smaller than the sum of its proper divisors (211604740768640).

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

113538050120320 is a wasteful number, since it uses less digits than its factorization.

113538050120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536520 (or 536501 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 113538050120320 in words is "one hundred thirteen trillion, five hundred thirty-eight billion, fifty million, one hundred twenty thousand, three hundred twenty".