213312344210101 has 2 divisors, whose sum is σ = 213312344210102. Its totient is φ = 213312344210100.

The previous prime is 213312344210093. The next prime is 213312344210153. The reversal of 213312344210101 is 101012443213312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212130777384100 + 1181566826001 = 14564710^2 + 1086999^2 .

It is a cyclic number.

It is not a de Polignac number, because 213312344210101 - 2³ = 213312344210093 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213312344210101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213312344210191) 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, 106656172105050 + 106656172105051.

It is an arithmetic number, because the mean of its divisors is an integer number (106656172105051).

Almost surely, 2^{213312344210101} is an apocalyptic number.

It is an amenable number.

213312344210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213312344210101 is an equidigital number, since it uses as much as digits as its factorization.

213312344210101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 213312344210101 its reverse (101012443213312), we get a palindrome (314324787423413).

The spelling of 213312344210101 in words is "two hundred thirteen trillion, three hundred twelve billion, three hundred forty-four million, two hundred ten thousand, one hundred one".