213300203209 has 32 divisors (see below), whose sum is σ = 240128405280. Its totient is φ = 188451422208.

The previous prime is 213300203197. The next prime is 213300203219. The reversal of 213300203209 is 902302003312.

It can be written as a sum of positive squares in 16 ways, for example, as 16590212809 + 196709990400 = 128803^2 + 443520^2 .

It is a cyclic number.

It is not a de Polignac number, because 213300203209 - 2¹⁵ = 213300170441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213300203219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30221809 + ... + 30228865.

It is an arithmetic number, because the mean of its divisors is an integer number (7504012665).

Almost surely, 2^213300203209 is an apocalyptic number.

213300203209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

213300203209 is a deficient number, since it is larger than the sum of its proper divisors (26828202071).

213300203209 is a wasteful number, since it uses less digits than its factorization.

213300203209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797.

The product of its (nonzero) digits is 1944, while the sum is 25.

The spelling of 213300203209 in words is "two hundred thirteen billion, three hundred million, two hundred three thousand, two hundred nine".