3122111323213 has 2 divisors, whose sum is σ = 3122111323214. Its totient is φ = 3122111323212.

The previous prime is 3122111323211. The next prime is 3122111323237. The reversal of 3122111323213 is 3123231112213.

3122111323213 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3122101700809 + 9622404 = 1766947^2 + 3102^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122111323213 - 2¹ = 3122111323211 is a prime.

It is a super-2 number, since 2×3122111323213² (a number of 26 digits) contains 22 as substring.

Together with 3122111323211, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3122111323211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561055661606 + 1561055661607.

It is an arithmetic number, because the mean of its divisors is an integer number (1561055661607).

Almost surely, 2^{3122111323213} is an apocalyptic number.

It is an amenable number.

3122111323213 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122111323213 is an equidigital number, since it uses as much as digits as its factorization.

3122111323213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296, while the sum is 25.

Adding to 3122111323213 its reverse (3123231112213), we get a palindrome (6245342435426).

The spelling of 3122111323213 in words is "three trillion, one hundred twenty-two billion, one hundred eleven million, three hundred twenty-three thousand, two hundred thirteen".