213202013200 has 120 divisors (see below), whose sum is σ = 567123924960. Its totient is φ = 76370764800.

The previous prime is 213202013197. The next prime is 213202013261. The reversal of 213202013200 is 2310202312.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66805 + ... + 656404.

It is an arithmetic number, because the mean of its divisors is an integer number (4726032708).

Almost surely, 2^213202013200 is an apocalyptic number.

213202013200 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 213202013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283561962480).

213202013200 is an abundant number, since it is smaller than the sum of its proper divisors (353921911760).

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

213202013200 is a wasteful number, since it uses less digits than its factorization.

213202013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723305 (or 723294 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 213202013200 its reverse (2310202312), we get a palindrome (215512215512).

The spelling of 213202013200 in words is "two hundred thirteen billion, two hundred two million, thirteen thousand, two hundred".