213133800 has 192 divisors, whose sum is σ = 738524160. Its totient is φ = 50400000.

The previous prime is 213133799. The next prime is 213133807. The reversal of 213133800 is 8331312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213133807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283425 + ... + 284175.

It is an arithmetic number, because the mean of its divisors is an integer number (3846480).

Almost surely, 2^213133800 is an apocalyptic number.

213133800 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 213133800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369262080).

213133800 is an abundant number, since it is smaller than the sum of its proper divisors (525390360).

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

213133800 is a wasteful number, since it uses less digits than its factorization.

213133800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213133800 is about 14599.1027121532. The cubic root of 213133800 is about 597.3342852588.

The spelling of 213133800 in words is "two hundred thirteen million, one hundred thirty-three thousand, eight hundred".