213201133200 has 360 divisors, whose sum is σ = 808271514336. Its totient is φ = 51611904000.

The previous prime is 213201133183. The next prime is 213201133213. The reversal of 213201133200 is 2331102312.

213201133200 is a `hidden beast` number, since 2 + 1 + 320 + 11 + 332 + 0 + 0 = 666.

213201133200 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 (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31161780 + ... + 31168620.

Almost surely, 2^213201133200 is an apocalyptic number.

213201133200 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 213201133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404135757168).

213201133200 is an abundant number, since it is smaller than the sum of its proper divisors (595070381136).

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

213201133200 is a wasteful number, since it uses less digits than its factorization.

213201133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7663 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213201133200 its reverse (2331102312), we get a palindrome (215532235512).

The spelling of 213201133200 in words is "two hundred thirteen billion, two hundred one million, one hundred thirty-three thousand, two hundred".