113213 has 2 divisors, whose sum is σ = 113214. Its totient is φ = 113212.

The previous prime is 113209. The next prime is 113227. The reversal of 113213 is 312311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80089 + 33124 = 283^2 + 182^2 .

It is an emirp because it is prime and its reverse (312311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113213 - 2² = 113209 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113194 and 113203.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56606 + 56607.

It is an arithmetic number, because the mean of its divisors is an integer number (56607).

2¹¹³²¹³ is an apocalyptic number.

It is an amenable number.

113213 is a deficient number, since it is larger than the sum of its proper divisors (1).

113213 is an equidigital number, since it uses as much as digits as its factorization.

113213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18, while the sum is 11.

The square root of 113213 is about 336.4713955153. The cubic root of 113213 is about 48.3762388206.

Adding to 113213 its reverse (312311), we get a palindrome (425524).

The spelling of 113213 in words is "one hundred thirteen thousand, two hundred thirteen".