213043219200 has 810 divisors, whose sum is σ = 916434102276. Its totient is φ = 48689786880.

The previous prime is 213043219189. The next prime is 213043219211. The reversal of 213043219200 is 2912340312.

It is a happy number.

213043219200 is a `hidden beast` number, since 2 + 13 + 0 + 432 + 19 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (213043219189) and next prime (213043219211).

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 25397407 + ... + 25405793.

Almost surely, 2^213043219200 is an apocalyptic number.

213043219200 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 213043219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458217051138).

213043219200 is an abundant number, since it is smaller than the sum of its proper divisors (703390883076).

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

213043219200 is an equidigital number, since it uses as much as digits as its factorization.

213043219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8439 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 213043219200 its reverse (2912340312), we get a palindrome (215955559512).

The spelling of 213043219200 in words is "two hundred thirteen billion, forty-three million, two hundred nineteen thousand, two hundred".