10771265664713 has 2 divisors, whose sum is σ = 10771265664714. Its totient is φ = 10771265664712.

The previous prime is 10771265664707. The next prime is 10771265664767. The reversal of 10771265664713 is 31746656217701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7763150055049 + 3008115609664 = 2786243^2 + 1734392^2 .

It is a cyclic number.

It is not a de Polignac number, because 10771265664713 - 2¹⁰ = 10771265663689 is a prime.

It is not a weakly prime, because it can be changed into another prime (10771265663713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5385632832356 + 5385632832357.

It is an arithmetic number, because the mean of its divisors is an integer number (5385632832357).

Almost surely, 2^{10771265664713} is an apocalyptic number.

It is an amenable number.

10771265664713 is a deficient number, since it is larger than the sum of its proper divisors (1).

10771265664713 is an equidigital number, since it uses as much as digits as its factorization.

10771265664713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8890560, while the sum is 56.

The spelling of 10771265664713 in words is "ten trillion, seven hundred seventy-one billion, two hundred sixty-five million, six hundred sixty-four thousand, seven hundred thirteen".