113120010 has 64 divisors (see below), whose sum is σ = 312076800. Its totient is φ = 29123136.

The previous prime is 113119987. The next prime is 113120011. The reversal of 113120010 is 10021311.

It is a super-2 number, since 2×113120010² = 25592273324800200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 113119974 and 113120001.

It is not an unprimeable number, because it can be changed into a prime (113120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607 + ... + 15053.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^113120010 is an apocalyptic number.

113120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156038400).

113120010 is an abundant number, since it is smaller than the sum of its proper divisors (198956790).

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

113120010 is a wasteful number, since it uses less digits than its factorization.

113120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 113120010 is about 10635.7891103575. The cubic root of 113120010 is about 483.6299022820.

Adding to 113120010 its reverse (10021311), we get a palindrome (123141321).

The spelling of 113120010 in words is "one hundred thirteen million, one hundred twenty thousand, ten".