213303021200 has 240 divisors, whose sum is σ = 566333752320. Its totient is φ = 76842754560.

The previous prime is 213303021187. The next prime is 213303021229. The reversal of 213303021200 is 2120303312.

213303021200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29187947 + ... + 29195253.

It is an arithmetic number, because the mean of its divisors is an integer number (2359723968).

Almost surely, 2^213303021200 is an apocalyptic number.

213303021200 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 213303021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283166876160).

213303021200 is an abundant number, since it is smaller than the sum of its proper divisors (353030731120).

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

213303021200 is a wasteful number, since it uses less digits than its factorization.

213303021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7534 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213303021200 its reverse (2120303312), we get a palindrome (215423324512).

The spelling of 213303021200 in words is "two hundred thirteen billion, three hundred three million, twenty-one thousand, two hundred".