10113120 has 96 divisors (see below), whose sum is σ = 35411040. Its totient is φ = 2695680.

The previous prime is 10113109. The next prime is 10113121. The reversal of 10113120 is 2131101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10113120² = 204550392268800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3150 + ... + 5490.

It is an arithmetic number, because the mean of its divisors is an integer number (368865).

Almost surely, 2^10113120 is an apocalyptic number.

10113120 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 10113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17705520).

10113120 is an abundant number, since it is smaller than the sum of its proper divisors (25297920).

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

10113120 is a wasteful number, since it uses less digits than its factorization.

10113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

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

The square root of 10113120 is about 3180.1132055322. The cubic root of 10113120 is about 216.2527904570.

Adding to 10113120 its reverse (2131101), we get a palindrome (12244221).

The spelling of 10113120 in words is "ten million, one hundred thirteen thousand, one hundred twenty".