213004343200 has 288 divisors, whose sum is σ = 593179034112. Its totient is φ = 73932672000.

The previous prime is 213004343197. The next prime is 213004343239. The reversal of 213004343200 is 2343400312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139857639 + ... + 139859161.

It is an arithmetic number, because the mean of its divisors is an integer number (2059649424).

Almost surely, 2^213004343200 is an apocalyptic number.

213004343200 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 213004343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296589517056).

213004343200 is an abundant number, since it is smaller than the sum of its proper divisors (380174690912).

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

213004343200 is a wasteful number, since it uses less digits than its factorization.

213004343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 213004343200 its reverse (2343400312), we get a palindrome (215347743512).

The spelling of 213004343200 in words is "two hundred thirteen billion, four million, three hundred forty-three thousand, two hundred".