10813 has 4 divisors (see below), whose sum is σ = 11808. Its totient is φ = 9820.

The previous prime is 10799. The next prime is 10831. The reversal of 10813 is 31801.

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.

It is a cyclic number.

It is not a de Polignac number, because 10813 - 2⁵ = 10781 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 10793 and 10802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 481 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (2952).

2¹⁰⁸¹³ is an apocalyptic number.

It is an amenable number.

10813 is a deficient number, since it is larger than the sum of its proper divisors (995).

10813 is an equidigital number, since it uses as much as digits as its factorization.

10813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 10813 is about 103.9855759228. The cubic root of 10813 is about 22.1130544004.

It can be divided in two parts, 108 and 13, that added together give a palindrome (121).

The spelling of 10813 in words is "ten thousand, eight hundred thirteen".