13213 has 4 divisors (see below), whose sum is σ = 13468. Its totient is φ = 12960.

The previous prime is 13187. The next prime is 13217. The reversal of 13213 is 31231.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2809 + 10404 = 53^2 + 102^2 .

It is a cyclic number.

It is not a de Polignac number, because 13213 - 2¹³ = 5021 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13217) 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, 18 + ... + 163.

It is an arithmetic number, because the mean of its divisors is an integer number (3367).

2¹³²¹³ is an apocalyptic number.

13213 is the 73-rd heptagonal number.

It is an amenable number.

13213 is a deficient number, since it is larger than the sum of its proper divisors (255).

13213 is an equidigital number, since it uses as much as digits as its factorization.

13213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254.

The product of its digits is 18, while the sum is 10.

The square root of 13213 is about 114.9478142463. The cubic root of 13213 is about 23.6410708753.

Subtracting from 13213 its sum of digits (10), we obtain a triangular number (13203 = T₁₆₂).

Adding to 13213 its product of digits (18), we get a palindrome (13231).

Adding to 13213 its reverse (31231), we get a palindrome (44444).

The spelling of 13213 in words is "thirteen thousand, two hundred thirteen".