13311267668521 has 27 divisors (see below), whose sum is σ = 13940443013679. Its totient is φ = 12709953865728.

The previous prime is 13311267668507. The next prime is 13311267668561. The reversal of 13311267668521 is 12586676211331.

The square root of 13311267668521 is 3648461.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 89753568921 + 13221514099600 = 299589^2 + 3636140^2 .

It is not a de Polignac number, because 13311267668521 - 2³¹ = 13309120184873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311267668561) 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 in 26 ways as a sum of consecutive naturals, for example, 10263120145 + ... + 10263121441.

Almost surely, 2^{13311267668521} is an apocalyptic number.

13311267668521 is the 3648461-st square number.

13311267668521 is the 1824231-st centered octagonal number.

It is an amenable number.

13311267668521 is a deficient number, since it is larger than the sum of its proper divisors (629175345158).

13311267668521 is an frugal number, since it uses more digits than its factorization.

13311267668521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2846 (or 1423 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 13311267668521 in words is "thirteen trillion, three hundred eleven billion, two hundred sixty-seven million, six hundred sixty-eight thousand, five hundred twenty-one".