113322011021120 has 448 divisors, whose sum is σ = 317787455043072. Its totient is φ = 38074122240000.

The previous prime is 113322011021119. The next prime is 113322011021123. The reversal of 113322011021120 is 21120110223311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113322011021092 and 113322011021101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322011021123) 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, 335086352 + ... + 335424368.

It is an arithmetic number, because the mean of its divisors is an integer number (709346997864).

Almost surely, 2^{113322011021120} is an apocalyptic number.

113322011021120 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 113322011021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158893727521536).

113322011021120 is an abundant number, since it is smaller than the sum of its proper divisors (204465444021952).

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

113322011021120 is a wasteful number, since it uses less digits than its factorization.

113322011021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338210 (or 338200 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 113322011021120 its reverse (21120110223311), we get a palindrome (134442121244431).

The spelling of 113322011021120 in words is "one hundred thirteen trillion, three hundred twenty-two billion, eleven million, twenty-one thousand, one hundred twenty".