13731123035809 has 27 divisors (see below), whose sum is σ = 14560007214963. Its totient is φ = 12948328670112.

The previous prime is 13731123035807. The next prime is 13731123035891. The reversal of 13731123035809 is 90853032113731.

It is a happy number.

The square root of 13731123035809 is 3705553.

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., 7794454341025 + 5936668694784 = 2791855^2 + 2436528^2 .

It is not a de Polignac number, because 13731123035809 - 2¹ = 13731123035807 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13731123035803) 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, 6221622384 + ... + 6221624590.

Almost surely, 2^{13731123035809} is an apocalyptic number.

13731123035809 is the 3705553-rd square number.

13731123035809 is the 1852777-th centered octagonal number.

It is an amenable number.

13731123035809 is a deficient number, since it is larger than the sum of its proper divisors (828884179154).

13731123035809 is an frugal number, since it uses more digits than its factorization.

13731123035809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4606 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 13731123035809 in words is "thirteen trillion, seven hundred thirty-one billion, one hundred twenty-three million, thirty-five thousand, eight hundred nine".