113301033120 has 384 divisors, whose sum is σ = 436666567680. Its totient is φ = 27208995840.

The previous prime is 113301033031. The next prime is 113301033127. The reversal of 113301033120 is 21330103311.

It is a happy number.

113301033120 is a `hidden beast` number, since 1 + 1 + 330 + 1 + 0 + 331 + 2 + 0 = 666.

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 = 113301033093 and 113301033102.

It is not an unprimeable number, because it can be changed into a prime (113301033127) 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, 5073499 + ... + 5095781.

It is an arithmetic number, because the mean of its divisors is an integer number (1137152520).

Almost surely, 2^113301033120 is an apocalyptic number.

113301033120 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 113301033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218333283840).

113301033120 is an abundant number, since it is smaller than the sum of its proper divisors (323365534560).

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

113301033120 is a wasteful number, since it uses less digits than its factorization.

113301033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22425 (or 22411 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113301033120 its reverse (21330103311), we get a palindrome (134631136431).

The spelling of 113301033120 in words is "one hundred thirteen billion, three hundred one million, thirty-three thousand, one hundred twenty".