13287315361329 has 27 divisors (see below), whose sum is σ = 19513562349099. Its totient is φ = 8712556258320.

The previous prime is 13287315361321. The next prime is 13287315361399. The reversal of 13287315361329 is 92316351378231.

It is a happy number.

The square root of 13287315361329 is 3645177.

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

13287315361329 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 7 + 3 + 15 + 3 + 613 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 432078784929 + 12855236576400 = 657327^2 + 3585420^2 .

It is not a de Polignac number, because 13287315361329 - 2³ = 13287315361321 is a prime.

It is a super-2 number, since 2×13287315361329² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13287315361321) 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, 667057432 + ... + 667077350.

Almost surely, 2^{13287315361329} is an apocalyptic number.

13287315361329 is the 3645177-th square number.

13287315361329 is the 1822589-th centered octagonal number.

It is an amenable number.

13287315361329 is a deficient number, since it is larger than the sum of its proper divisors (6226246987770).

13287315361329 is an frugal number, since it uses more digits than its factorization.

13287315361329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39966 (or 19983 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 13287315361329 in words is "thirteen trillion, two hundred eighty-seven billion, three hundred fifteen million, three hundred sixty-one thousand, three hundred twenty-nine".