213330000 has 200 divisors, whose sum is σ = 742987168. Its totient is φ = 52416000.

The previous prime is 213329983. The next prime is 213330023. The reversal of 213330000 is 33312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 389727 + ... + 390273.

Almost surely, 2^213330000 is an apocalyptic number.

213330000 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 213330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371493584).

213330000 is an abundant number, since it is smaller than the sum of its proper divisors (529657168).

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

213330000 is a wasteful number, since it uses less digits than its factorization.

213330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 213330000 is about 14605.8207574925. The cubic root of 213330000 is about 597.5175207715.

Adding to 213330000 its reverse (33312), we get a palindrome (213363312).

The spelling of 213330000 in words is "two hundred thirteen million, three hundred thirty thousand".