3101434341013 has 2 divisors, whose sum is σ = 3101434341014. Its totient is φ = 3101434341012.

The previous prime is 3101434340999. The next prime is 3101434341017.

3101434341013 is nontrivially palindromic in base 10.

3101434341013 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., 2627955483409 + 473478857604 = 1621097^2 + 688098^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3101434341013 is a prime.

It is a super-2 number, since 2×3101434341013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3101434341017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1550717170506 + 1550717170507.

It is an arithmetic number, because the mean of its divisors is an integer number (1550717170507).

Almost surely, 2^{3101434341013} is an apocalyptic number.

It is an amenable number.

3101434341013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3101434341013 is an equidigital number, since it uses as much as digits as its factorization.

3101434341013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 3101434341013 in words is "three trillion, one hundred one billion, four hundred thirty-four million, three hundred forty-one thousand, thirteen".