1002271287713 has 2 divisors, whose sum is σ = 1002271287714. Its totient is φ = 1002271287712.

The previous prime is 1002271287679. The next prime is 1002271287737. The reversal of 1002271287713 is 3177821722001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 879050630929 + 123220656784 = 937577^2 + 351028^2 .

It is a cyclic number.

It is not a de Polignac number, because 1002271287713 - 2²⁴ = 1002254510497 is a prime.

It is not a weakly prime, because it can be changed into another prime (1002271287763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501135643856 + 501135643857.

It is an arithmetic number, because the mean of its divisors is an integer number (501135643857).

Almost surely, 2^{1002271287713} is an apocalyptic number.

It is an amenable number.

1002271287713 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002271287713 is an equidigital number, since it uses as much as digits as its factorization.

1002271287713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 41.

The spelling of 1002271287713 in words is "one trillion, two billion, two hundred seventy-one million, two hundred eighty-seven thousand, seven hundred thirteen".