13126933318321 has 9 divisors (see below), whose sum is σ = 13141031471211. Its totient is φ = 13112850285864.

The previous prime is 13126933318319. The next prime is 13126933318327. The reversal of 13126933318321 is 12381333962131.

The square root of 13126933318321 is 3623111.

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

It can be written as a sum of positive squares in only one way, i.e., 4441299138721 + 8685634179600 = 2107439^2 + 2947140^2 .

It is not a de Polignac number, because 13126933318321 - 2¹ = 13126933318319 is a prime.

It is a Duffinian number.

Its product of digits (419904) is a multiple of the sum of its prime divisors (3888).

It is not an unprimeable number, because it can be changed into a prime (13126933318327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5612197770 + ... + 5612200108.

Almost surely, 2^{13126933318321} is an apocalyptic number.

13126933318321 is the 3623111-st square number.

13126933318321 is the 1811556-th centered octagonal number.

It is an amenable number.

13126933318321 is a deficient number, since it is larger than the sum of its proper divisors (14098152890).

13126933318321 is an frugal number, since it uses more digits than its factorization.

13126933318321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7776 (or 3888 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The spelling of 13126933318321 in words is "thirteen trillion, one hundred twenty-six billion, nine hundred thirty-three million, three hundred eighteen thousand, three hundred twenty-one".