213203320 has 64 divisors (see below), whose sum is σ = 526435200. Its totient is φ = 77066880.

The previous prime is 213203293. The next prime is 213203323. The reversal of 213203320 is 23302312.

It is a junction number, because it is equal to n+sod(n) for n = 213203294 and 213203303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213203323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77407 + ... + 80113.

It is an arithmetic number, because the mean of its divisors is an integer number (8225550).

Almost surely, 2^213203320 is an apocalyptic number.

213203320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263217600).

213203320 is an abundant number, since it is smaller than the sum of its proper divisors (313231880).

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

213203320 is a wasteful number, since it uses less digits than its factorization.

213203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213203320 is about 14601.4834862763. The cubic root of 213203320 is about 597.3992243804.

Adding to 213203320 its reverse (23302312), we get a palindrome (236505632).

The spelling of 213203320 in words is "two hundred thirteen million, two hundred three thousand, three hundred twenty".