213232310102209 has 2 divisors, whose sum is σ = 213232310102210. Its totient is φ = 213232310102208.

The previous prime is 213232310102177. The next prime is 213232310102213. The reversal of 213232310102209 is 902201013232312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184294064495025 + 28938245607184 = 13575495^2 + 5379428^2 .

It is a cyclic number.

It is not a de Polignac number, because 213232310102209 - 2⁵ = 213232310102177 is a prime.

It is not a weakly prime, because it can be changed into another prime (213232310112209) by changing a digit.

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 as a sum of consecutive naturals, namely, 106616155051104 + 106616155051105.

It is an arithmetic number, because the mean of its divisors is an integer number (106616155051105).

Almost surely, 2^{213232310102209} is an apocalyptic number.

It is an amenable number.

213232310102209 is a deficient number, since it is larger than the sum of its proper divisors (1).

213232310102209 is an equidigital number, since it uses as much as digits as its factorization.

213232310102209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 213232310102209 in words is "two hundred thirteen trillion, two hundred thirty-two billion, three hundred ten million, one hundred two thousand, two hundred nine".