113120113032 has 256 divisors, whose sum is σ = 352370995200. Its totient is φ = 33437352960.

The previous prime is 113120112953. The next prime is 113120113033. The reversal of 113120113032 is 230311021311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113120112996 and 113120113014.

It is not an unprimeable number, because it can be changed into a prime (113120113033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5648557 + ... + 5668547.

It is an arithmetic number, because the mean of its divisors is an integer number (1376449200).

Almost surely, 2^113120113032 is an apocalyptic number.

113120113032 is a gapful number since it is divisible by the number (12) 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 113120113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176185497600).

113120113032 is an abundant number, since it is smaller than the sum of its proper divisors (239250882168).

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

113120113032 is a wasteful number, since it uses less digits than its factorization.

113120113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20113 (or 20103 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 113120113032 its reverse (230311021311), we get a palindrome (343431134343).

The spelling of 113120113032 in words is "one hundred thirteen billion, one hundred twenty million, one hundred thirteen thousand, thirty-two".