213133200 has 120 divisors (see below), whose sum is σ = 780301248. Its totient is φ = 48714240.

The previous prime is 213133177. The next prime is 213133213. The reversal of 213133200 is 2331312.

213133200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 213133200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4287 + ... + 21086.

Almost surely, 2^213133200 is an apocalyptic number.

213133200 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 213133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390150624).

213133200 is an abundant number, since it is smaller than the sum of its proper divisors (567168048).

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

213133200 is a wasteful number, since it uses less digits than its factorization.

213133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25401 (or 25390 counting only the distinct ones).

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

The square root of 213133200 is about 14599.0821629307. The cubic root of 213133200 is about 597.3337247331. Note that the first 3 decimals are identical.

Adding to 213133200 its reverse (2331312), we get a palindrome (215464512).

The spelling of 213133200 in words is "two hundred thirteen million, one hundred thirty-three thousand, two hundred".