211301413013 has 2 divisors, whose sum is σ = 211301413014. Its totient is φ = 211301413012.

The previous prime is 211301412953. The next prime is 211301413039. The reversal of 211301413013 is 310314103112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 136727634289 + 74573778724 = 369767^2 + 273082^2 .

It is a cyclic number.

It is not a de Polignac number, because 211301413013 - 2³² = 207006445717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211301413613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105650706506 + 105650706507.

It is an arithmetic number, because the mean of its divisors is an integer number (105650706507).

Almost surely, 2^211301413013 is an apocalyptic number.

It is an amenable number.

211301413013 is a deficient number, since it is larger than the sum of its proper divisors (1).

211301413013 is an equidigital number, since it uses as much as digits as its factorization.

211301413013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211301413013 its reverse (310314103112), we get a palindrome (521615516125).

The spelling of 211301413013 in words is "two hundred eleven billion, three hundred one million, four hundred thirteen thousand, thirteen".