212111211313 has 2 divisors, whose sum is σ = 212111211314. Its totient is φ = 212111211312.

The previous prime is 212111211311. The next prime is 212111211379. The reversal of 212111211313 is 313112111212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133278295329 + 78832915984 = 365073^2 + 280772^2 .

It is a cyclic number.

It is not a de Polignac number, because 212111211313 - 2¹ = 212111211311 is a prime.

Together with 212111211311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (212111211311) 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, 106055605656 + 106055605657.

It is an arithmetic number, because the mean of its divisors is an integer number (106055605657).

Almost surely, 2^212111211313 is an apocalyptic number.

It is an amenable number.

212111211313 is a deficient number, since it is larger than the sum of its proper divisors (1).

212111211313 is an equidigital number, since it uses as much as digits as its factorization.

212111211313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72, while the sum is 19.

Adding to 212111211313 its reverse (313112111212), we get a palindrome (525223322525).

The spelling of 212111211313 in words is "two hundred twelve billion, one hundred eleven million, two hundred eleven thousand, three hundred thirteen".