3122101313 has 2 divisors, whose sum is σ = 3122101314. Its totient is φ = 3122101312.

The previous prime is 3122101273. The next prime is 3122101327. The reversal of 3122101313 is 3131012213.

3122101313 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., 3028631089 + 93470224 = 55033^2 + 9668^2 .

It is a cyclic number.

It is not a de Polignac number, because 3122101313 - 2²⁴ = 3105324097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3122101291 and 3122101300.

It is not a weakly prime, because it can be changed into another prime (3122101373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1561050656 + 1561050657.

It is an arithmetic number, because the mean of its divisors is an integer number (1561050657).

Almost surely, 2^3122101313 is an apocalyptic number.

It is an amenable number.

3122101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3122101313 is an equidigital number, since it uses as much as digits as its factorization.

3122101313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 3122101313 is about 55875.7667777365. The cubic root of 3122101313 is about 1461.5566859480.

Adding to 3122101313 its reverse (3131012213), we get a palindrome (6253113526).

The spelling of 3122101313 in words is "three billion, one hundred twenty-two million, one hundred one thousand, three hundred thirteen".