213320 has 16 divisors (see below), whose sum is σ = 480060. Its totient is φ = 85312.

The previous prime is 213319. The next prime is 213329. The reversal of 213320 is 23312.

It can be written as a sum of positive squares in 2 ways, for example, as 195364 + 17956 = 442^2 + 134^2 .

It is not an unprimeable number, because it can be changed into a prime (213329) 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, 2627 + ... + 2706.

2²¹³³²⁰ is an apocalyptic number.

213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320 is an abundant number, since it is smaller than the sum of its proper divisors (266740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213320 is a wasteful number, since it uses less digits than its factorization.

213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 213320 is about 461.8657813694. The cubic root of 213320 is about 59.7508184268.

Adding to 213320 its reverse (23312), we get a palindrome (236632).

The spelling of 213320 in words is "two hundred thirteen thousand, three hundred twenty".