113112013200120 has 384 divisors, whose sum is σ = 414931592088000. Its totient is φ = 26471113482240.

The previous prime is 113112013200101. The next prime is 113112013200281. The reversal of 113112013200120 is 21002310211311.

113112013200120 is a `hidden beast` number, since 1 + 1 + 311 + 20 + 1 + 320 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×113112013200120² (a number of 29 digits) contains 22 as substring.

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 = 113112013200093 and 113112013200102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 713881066 + ... + 714039494.

Almost surely, 2^{113112013200120} is an apocalyptic number.

113112013200120 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 113112013200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207465796044000).

113112013200120 is an abundant number, since it is smaller than the sum of its proper divisors (301819578887880).

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

113112013200120 is a wasteful number, since it uses less digits than its factorization.

113112013200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164703 (or 164696 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 113112013200120 its reverse (21002310211311), we get a palindrome (134114323411431).

The spelling of 113112013200120 in words is "one hundred thirteen trillion, one hundred twelve billion, thirteen million, two hundred thousand, one hundred twenty".