113516080128 has 440 divisors, whose sum is σ = 374502744000. Its totient is φ = 33961697280.

The previous prime is 113516080123. The next prime is 113516080159. The reversal of 113516080128 is 821080615311.

113516080128 is a `hidden beast` number, since 1 + 1 + 35 + 1 + 608 + 0 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 113516080092 and 113516080101.

It is not an unprimeable number, because it can be changed into a prime (113516080123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75727123 + ... + 75728621.

It is an arithmetic number, because the mean of its divisors is an integer number (851142600).

Almost surely, 2^113516080128 is an apocalyptic number.

113516080128 is a gapful number since it is divisible by the number (18) 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 113516080128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187251372000).

113516080128 is an abundant number, since it is smaller than the sum of its proper divisors (260986663872).

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

113516080128 is a wasteful number, since it uses less digits than its factorization.

113516080128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 113516080128 its reverse (821080615311), we get a palindrome (934596695439).

The spelling of 113516080128 in words is "one hundred thirteen billion, five hundred sixteen million, eighty thousand, one hundred twenty-eight".