10713120 has 96 divisors (see below), whose sum is σ = 36832320. Its totient is φ = 2595840.

The previous prime is 10713113. The next prime is 10713127. The reversal of 10713120 is 2131701.

It is an interprime number because it is at equal distance from previous prime (10713113) and next prime (10713127).

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

It is a super-2 number, since 2×10713120² = 229541880268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10713120.

It is not an unprimeable number, because it can be changed into a prime (10713127) 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, 4266 + ... + 6294.

It is an arithmetic number, because the mean of its divisors is an integer number (383670).

Almost surely, 2^10713120 is an apocalyptic number.

10713120 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 10713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18416160).

10713120 is an abundant number, since it is smaller than the sum of its proper divisors (26119200).

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

10713120 is a wasteful number, since it uses less digits than its factorization.

10713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2058 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10713120 is about 3273.0902828978. The cubic root of 10713120 is about 220.4475736756.

Adding to 10713120 its reverse (2131701), we get a palindrome (12844821).

The spelling of 10713120 in words is "ten million, seven hundred thirteen thousand, one hundred twenty".