213032013001217 has 2 divisors, whose sum is σ = 213032013001218. Its totient is φ = 213032013001216.

The previous prime is 213032013001189. The next prime is 213032013001243. The reversal of 213032013001217 is 712100310230312.

It is an a-pointer prime, because the next prime (213032013001243) can be obtained adding 213032013001217 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159824310602896 + 53207702398321 = 12642164^2 + 7294361^2 .

It is a cyclic number.

It is not a de Polignac number, because 213032013001217 - 2²² = 213032008806913 is a prime.

It is not a weakly prime, because it can be changed into another prime (213032013001117) 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, 106516006500608 + 106516006500609.

It is an arithmetic number, because the mean of its divisors is an integer number (106516006500609).

Almost surely, 2^{213032013001217} is an apocalyptic number.

It is an amenable number.

213032013001217 is a deficient number, since it is larger than the sum of its proper divisors (1).

213032013001217 is an equidigital number, since it uses as much as digits as its factorization.

213032013001217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 213032013001217 its reverse (712100310230312), we get a palindrome (925132323231529).

The spelling of 213032013001217 in words is "two hundred thirteen trillion, thirty-two billion, thirteen million, one thousand, two hundred seventeen".