10713 has 4 divisors (see below), whose sum is σ = 14288. Its totient is φ = 7140.

The previous prime is 10711. The next prime is 10723. The reversal of 10713 is 31701.

10713 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31701 = 3 ⋅10567.

It is not a de Polignac number, because 10713 - 2¹ = 10711 is a prime.

It is a super-2 number, since 2×10713² = 229536738, which contains 22 as substring.

It is an Ulam number.

It is a D-number.

It is the 104-th Hogben number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10711) by changing a digit.

It is a nontrivial repunit in base 103.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1783 + ... + 1788.

It is an arithmetic number, because the mean of its divisors is an integer number (3572).

2¹⁰⁷¹³ is an apocalyptic number.

It is an amenable number.

10713 is a deficient number, since it is larger than the sum of its proper divisors (3575).

10713 is an equidigital number, since it uses as much as digits as its factorization.

10713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 10713 is about 103.5036231250. The cubic root of 10713 is about 22.0446750579.

Subtracting from 10713 its sum of digits (12), we obtain a palindrome (10701).

It can be divided in two parts, 107 and 13, that added together give a triangular number (120 = T₁₅).

The spelling of 10713 in words is "ten thousand, seven hundred thirteen".