213404242213 has 2 divisors, whose sum is σ = 213404242214. Its totient is φ = 213404242212.

The previous prime is 213404242193. The next prime is 213404242231. The reversal of 213404242213 is 312242404312.

213404242213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (213404242231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176552913124 + 36851329089 = 420182^2 + 191967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213404242213 is a prime.

It is a super-2 number, since 2×213404242213² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213404212213) 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, 106702121106 + 106702121107.

It is an arithmetic number, because the mean of its divisors is an integer number (106702121107).

Almost surely, 2^213404242213 is an apocalyptic number.

It is an amenable number.

213404242213 is a deficient number, since it is larger than the sum of its proper divisors (1).

213404242213 is an equidigital number, since it uses as much as digits as its factorization.

213404242213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 213404242213 its reverse (312242404312), we get a palindrome (525646646525).

The spelling of 213404242213 in words is "two hundred thirteen billion, four hundred four million, two hundred forty-two thousand, two hundred thirteen".