213113 has 4 divisors (see below), whose sum is σ = 217188. Its totient is φ = 209040.

The previous prime is 213097. The next prime is 213119. The reversal of 213113 is 311312.

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 73984 + 139129 = 272^2 + 373^2 .

It is a cyclic number.

It is not a de Polignac number, because 213113 - 2⁴ = 213097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213094 and 213103.

It is not an unprimeable number, because it can be changed into a prime (213119) 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, 1958 + ... + 2063.

It is an arithmetic number, because the mean of its divisors is an integer number (54297).

2²¹³¹¹³ is an apocalyptic number.

It is an amenable number.

213113 is a deficient number, since it is larger than the sum of its proper divisors (4075).

213113 is an equidigital number, since it uses as much as digits as its factorization.

213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4074.

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

The square root of 213113 is about 461.6416359039. The cubic root of 213113 is about 59.7314853088.

Adding to 213113 its reverse (311312), we get a palindrome (524425).

The spelling of 213113 in words is "two hundred thirteen thousand, one hundred thirteen".