11213 has 2 divisors, whose sum is σ = 11214. Its totient is φ = 11212.

The previous prime is 11197. The next prime is 11239. The reversal of 11213 is 31211.

11213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6724 + 4489 = 82^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 11213 - 2^{4} = 11197 is a prime.

It is a Chen prime.

It is a plaindrome in base 7 and base 16.

It is a self number, because there is not a number *n* which added to its sum of digits gives 11213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5606 + 5607.

It is an arithmetic number, because the mean of its divisors is an integer number (5607).

2^{11213} is an apocalyptic number.

It is an amenable number.

11213 is a deficient number, since it is larger than the sum of its proper divisors (1).

11213 is an equidigital number, since it uses as much as digits as its factorization.

11213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6, while the sum is 8.

The square root of 11213 is about 105.8914538572. The cubic root of 11213 is about 22.3824320161.

Adding to 11213 its reverse (31211), we get a palindrome (42424).

It can be divided in two parts, 112 and 13, that added together give a cube (125 = 5^{3}).

The spelling of 11213 in words is "eleven thousand, two hundred thirteen".

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