213213300 has 108 divisors (see below), whose sum is σ = 630459648. Its totient is φ = 55632000.

The previous prime is 213213281. The next prime is 213213317. The reversal of 213213300 is 3312312.

It is a super-2 number, since 2×213213300² = 90919822593780000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213213300.

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 35 ways as a sum of consecutive naturals, for example, 1116205 + ... + 1116395.

Almost surely, 2^213213300 is an apocalyptic number.

213213300 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 213213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315229824).

213213300 is an abundant number, since it is smaller than the sum of its proper divisors (417246348).

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

213213300 is a wasteful number, since it uses less digits than its factorization.

213213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213213300 is about 14601.8252283747. The cubic root of 213213300 is about 597.4085456099.

Adding to 213213300 its reverse (3312312), we get a palindrome (216525612).

The spelling of 213213300 in words is "two hundred thirteen million, two hundred thirteen thousand, three hundred".