3127407321413 has 2 divisors, whose sum is σ = 3127407321414. Its totient is φ = 3127407321412.

The previous prime is 3127407321347. The next prime is 3127407321439. The reversal of 3127407321413 is 3141237047213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2036266212484 + 1091141108929 = 1426978^2 + 1044577^2 .

It is an emirp because it is prime and its reverse (3141237047213) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3127407321413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3127407321013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1563703660706 + 1563703660707.

It is an arithmetic number, because the mean of its divisors is an integer number (1563703660707).

Almost surely, 2^{3127407321413} is an apocalyptic number.

It is an amenable number.

3127407321413 is a deficient number, since it is larger than the sum of its proper divisors (1).

3127407321413 is an equidigital number, since it uses as much as digits as its factorization.

3127407321413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 3127407321413 in words is "three trillion, one hundred twenty-seven billion, four hundred seven million, three hundred twenty-one thousand, four hundred thirteen".