213301 has 4 divisors (see below), whose sum is σ = 232704. Its totient is φ = 193900.

The previous prime is 213289. The next prime is 213307. The reversal of 213301 is 103312.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 213301 - 2⁷ = 213173 is a prime.

It is a Duffinian number.

213301 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213307) 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, 9685 + ... + 9706.

It is an arithmetic number, because the mean of its divisors is an integer number (58176).

2²¹³³⁰¹ is an apocalyptic number.

It is an amenable number.

213301 is a deficient number, since it is larger than the sum of its proper divisors (19403).

213301 is a wasteful number, since it uses less digits than its factorization.

213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19402.

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

The square root of 213301 is about 461.8452121653. The cubic root of 213301 is about 59.7490444109.

Adding to 213301 its reverse (103312), we get a palindrome (316613).

The spelling of 213301 in words is "two hundred thirteen thousand, three hundred one".