12813 has 4 divisors (see below), whose sum is σ = 17088. Its totient is φ = 8540.

The previous prime is 12809. The next prime is 12821. The reversal of 12813 is 31821.

It is a happy number.

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: 31821 = 3 ⋅10607.

It is a cyclic number.

It is not a de Polignac number, because 12813 - 2² = 12809 is a prime.

It is a D-number.

12813 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 12792 and 12801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12823) 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, 2133 + ... + 2138.

It is an arithmetic number, because the mean of its divisors is an integer number (4272).

2¹²⁸¹³ is an apocalyptic number.

It is an amenable number.

12813 is a deficient number, since it is larger than the sum of its proper divisors (4275).

12813 is an equidigital number, since it uses as much as digits as its factorization.

12813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274.

The product of its digits is 48, while the sum is 15.

The square root of 12813 is about 113.1945228357. The cubic root of 12813 is about 23.4000584409.

It can be divided in two parts, 128 and 13, that added together give a palindrome (141).

The spelling of 12813 in words is "twelve thousand, eight hundred thirteen".