211213201313 has 2 divisors, whose sum is σ = 211213201314. Its totient is φ = 211213201312.

The previous prime is 211213201279. The next prime is 211213201321. The reversal of 211213201313 is 313102312112.

It is a happy number.

211213201313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117692221969 + 93520979344 = 343063^2 + 305812^2 .

It is a cyclic number.

It is not a de Polignac number, because 211213201313 - 2¹⁸ = 211212939169 is a prime.

It is a super-2 number, since 2×211213201313² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211213201343) 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, 105606600656 + 105606600657.

It is an arithmetic number, because the mean of its divisors is an integer number (105606600657).

Almost surely, 2^211213201313 is an apocalyptic number.

It is an amenable number.

211213201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211213201313 is an equidigital number, since it uses as much as digits as its factorization.

211213201313 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 211213201313 its reverse (313102312112), we get a palindrome (524315513425).

The spelling of 211213201313 in words is "two hundred eleven billion, two hundred thirteen million, two hundred one thousand, three hundred thirteen".