211321321313 has 2 divisors, whose sum is σ = 211321321314. Its totient is φ = 211321321312.

The previous prime is 211321321301. The next prime is 211321321363. The reversal of 211321321313 is 313123123112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129231622144 + 82089699169 = 359488^2 + 286513^2 .

It is a cyclic number.

It is not a de Polignac number, because 211321321313 - 2¹⁰ = 211321320289 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211321321363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105660660656 + 105660660657.

It is an arithmetic number, because the mean of its divisors is an integer number (105660660657).

Almost surely, 2^211321321313 is an apocalyptic number.

It is an amenable number.

211321321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

211321321313 is an equidigital number, since it uses as much as digits as its factorization.

211321321313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

Adding to 211321321313 its reverse (313123123112), we get a palindrome (524444444425).

The spelling of 211321321313 in words is "two hundred eleven billion, three hundred twenty-one million, three hundred twenty-one thousand, three hundred thirteen".