211322111323313 has 2 divisors, whose sum is σ = 211322111323314. Its totient is φ = 211322111323312.

The previous prime is 211322111323289. The next prime is 211322111323363. The reversal of 211322111323313 is 313323111223112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 151703143469089 + 59618967854224 = 12316783^2 + 7721332^2 .

It is a cyclic number.

It is not a de Polignac number, because 211322111323313 - 2¹⁸ = 211322111061169 is a prime.

It is not a weakly prime, because it can be changed into another prime (211322111323363) 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, 105661055661656 + 105661055661657.

It is an arithmetic number, because the mean of its divisors is an integer number (105661055661657).

Almost surely, 2^{211322111323313} is an apocalyptic number.

It is an amenable number.

211322111323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211322111323313 is an equidigital number, since it uses as much as digits as its factorization.

211322111323313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 29.

Adding to 211322111323313 its reverse (313323111223112), we get a palindrome (524645222546425).

The spelling of 211322111323313 in words is "two hundred eleven trillion, three hundred twenty-two billion, one hundred eleven million, three hundred twenty-three thousand, three hundred thirteen".