213120312200 has 48 divisors (see below), whose sum is σ = 495554638500. Its totient is φ = 85239537920.

The previous prime is 213120312191. The next prime is 213120312217. The reversal of 213120312200 is 2213021312.

213120312200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 100467445156 + 112652867044 = 316966^2 + 335638^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2165666 + ... + 2261934.

Almost surely, 2^213120312200 is an apocalyptic number.

213120312200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213120312200 is an abundant number, since it is smaller than the sum of its proper divisors (282434326300).

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

213120312200 is a wasteful number, since it uses less digits than its factorization.

213120312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107354 (or 107345 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 213120312200 its reverse (2213021312), we get a palindrome (215333333512).

The spelling of 213120312200 in words is "two hundred thirteen billion, one hundred twenty million, three hundred twelve thousand, two hundred".