213313 has 8 divisors (see below), whose sum is σ = 228800. Its totient is φ = 198288.

The previous prime is 213307. The next prime is 213319. The reversal of 213313 is 313312.

It is an interprime number because it is at equal distance from previous prime (213307) and next prime (213319).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213313 - 2⁵ = 213281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213293 and 213302.

It is not an unprimeable number, because it can be changed into a prime (213319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1903 + ... + 2011.

It is an arithmetic number, because the mean of its divisors is an integer number (28600).

2²¹³³¹³ is an apocalyptic number.

It is an amenable number.

213313 is a deficient number, since it is larger than the sum of its proper divisors (15487).

213313 is a wasteful number, since it uses less digits than its factorization.

213313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231.

The product of its digits is 54, while the sum is 13.

The square root of 213313 is about 461.8582033482. The cubic root of 213313 is about 59.7501648543.

Adding to 213313 its reverse (313312), we get a palindrome (526625).

Subtracting 213313 from its reverse (313312), we obtain a palindrome (99999).

The spelling of 213313 in words is "two hundred thirteen thousand, three hundred thirteen".