213312244200 has 384 divisors, whose sum is σ = 757880064000. Its totient is φ = 49126528000.

The previous prime is 213312244181. The next prime is 213312244217. The reversal of 213312244200 is 2442213312.

It is a happy number.

It is a super-2 number, since 2×213312244200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22613485 + ... + 22622915.

It is an arithmetic number, because the mean of its divisors is an integer number (1973646000).

Almost surely, 2^213312244200 is an apocalyptic number.

213312244200 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 213312244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378940032000).

213312244200 is an abundant number, since it is smaller than the sum of its proper divisors (544567819800).

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

213312244200 is a wasteful number, since it uses less digits than its factorization.

213312244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9633 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213312244200 its reverse (2442213312), we get a palindrome (215754457512).

The spelling of 213312244200 in words is "two hundred thirteen billion, three hundred twelve million, two hundred forty-four thousand, two hundred".