213300320 has 48 divisors (see below), whose sum is σ = 505083600. Its totient is φ = 85123584.

The previous prime is 213300317. The next prime is 213300341. The reversal of 213300320 is 23003312.

213300320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213300295 and 213300304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82406 + ... + 84954.

It is an arithmetic number, because the mean of its divisors is an integer number (10522575).

Almost surely, 2^213300320 is an apocalyptic number.

213300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213300320 is an abundant number, since it is smaller than the sum of its proper divisors (291783280).

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

213300320 is a wasteful number, since it uses less digits than its factorization.

213300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213300320 is about 14604.8046888687. The cubic root of 213300320 is about 597.4898091783.

Adding to 213300320 its reverse (23003312), we get a palindrome (236303632).

The spelling of 213300320 in words is "two hundred thirteen million, three hundred thousand, three hundred twenty".