113120000000 has 384 divisors, whose sum is σ = 326319477120. Its totient is φ = 38400000000.

The previous prime is 113119999997. The next prime is 113120000057. The reversal of 113120000000 is 21311.

It is a super-2 number, since 2×113120000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1119999950 + ... + 1120000050.

It is an arithmetic number, because the mean of its divisors is an integer number (849790305).

Almost surely, 2^113120000000 is an apocalyptic number.

113120000000 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 113120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163159738560).

113120000000 is an abundant number, since it is smaller than the sum of its proper divisors (213199477120).

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

113120000000 is an frugal number, since it uses more digits than its factorization.

113120000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 113120000000 its reverse (21311), we get a palindrome (113120021311).

The spelling of 113120000000 in words is "one hundred thirteen billion, one hundred twenty million", and thus it is an aban number.