213330300 has 72 divisors (see below), whose sum is σ = 628928496. Its totient is φ = 55810560.

The previous prime is 213330289. The next prime is 213330307. The reversal of 213330300 is 3033312.

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 213330300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213330307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9192 + ... + 22608.

It is an arithmetic number, because the mean of its divisors is an integer number (8735118).

Almost surely, 2^213330300 is an apocalyptic number.

213330300 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 213330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314464248).

213330300 is an abundant number, since it is smaller than the sum of its proper divisors (415598196).

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

213330300 is a wasteful number, since it uses less digits than its factorization.

213330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13487 (or 13480 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 213330300 is about 14605.8310273671. The cubic root of 213330300 is about 597.5178008620.

Adding to 213330300 its reverse (3033312), we get a palindrome (216363612).

The spelling of 213330300 in words is "two hundred thirteen million, three hundred thirty thousand, three hundred".