211210211122013 has 2 divisors, whose sum is σ = 211210211122014. Its totient is φ = 211210211122012.

The previous prime is 211210211121911. The next prime is 211210211122019. The reversal of 211210211122013 is 310221112012112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129244656690724 + 81965554431289 = 11368582^2 + 9053483^2 .

It is a cyclic number.

It is not a de Polignac number, because 211210211122013 - 2¹⁰ = 211210211120989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211210211122019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105605105561006 + 105605105561007.

It is an arithmetic number, because the mean of its divisors is an integer number (105605105561007).

Almost surely, 2^{211210211122013} is an apocalyptic number.

It is an amenable number.

211210211122013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211210211122013 is an equidigital number, since it uses as much as digits as its factorization.

211210211122013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 211210211122013 its reverse (310221112012112), we get a palindrome (521431323134125).

The spelling of 211210211122013 in words is "two hundred eleven trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, thirteen".