213306300 has 108 divisors (see below), whose sum is σ = 676362960. Its totient is φ = 56221440.

The previous prime is 213306283. The next prime is 213306307. The reversal of 213306300 is 3603312.

It is a happy number.

213306300 is a `hidden beast` number, since 2 + 1 + 3 + 30 + 630 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213306307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78769 + ... + 81431.

It is an arithmetic number, because the mean of its divisors is an integer number (6262620).

Almost surely, 2^213306300 is an apocalyptic number.

213306300 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 213306300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338181480).

213306300 is an abundant number, since it is smaller than the sum of its proper divisors (463056660).

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

213306300 is a wasteful number, since it uses less digits than its factorization.

213306300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213306300 is about 14605.0094145810. The cubic root of 213306300 is about 597.4953927856.

Adding to 213306300 its reverse (3603312), we get a palindrome (216909612).

The spelling of 213306300 in words is "two hundred thirteen million, three hundred six thousand, three hundred".