13065268097281 has 27 divisors (see below), whose sum is σ = 13982593359049. Its totient is φ = 12205635221888.

The previous prime is 13065268097279. The next prime is 13065268097291. The reversal of 13065268097281 is 18279086256031.

The square root of 13065268097281 is 3614591.

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

It can be written as a sum of positive squares in 4 ways, for example, as 256628362225 + 12808639735056 = 506585^2 + 3578916^2 .

It is not a de Polignac number, because 13065268097281 - 2¹ = 13065268097279 is a prime.

It is a super-2 number, since 2×13065268097281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13065268097291) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9155758290 + ... + 9155759716.

Almost surely, 2^{13065268097281} is an apocalyptic number.

13065268097281 is the 3614591-st square number.

13065268097281 is the 1807296-th centered octagonal number.

It is an amenable number.

13065268097281 is a deficient number, since it is larger than the sum of its proper divisors (917325261768).

13065268097281 is an frugal number, since it uses more digits than its factorization.

13065268097281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 13065268097281 in words is "thirteen trillion, sixty-five billion, two hundred sixty-eight million, ninety-seven thousand, two hundred eighty-one".