13347981873121 has 15 divisors (see below), whose sum is σ = 15571927809683. Its totient is φ = 11440973873280.

The previous prime is 13347981873097. The next prime is 13347981873173. The reversal of 13347981873121 is 12137818974331.

The square root of 13347981873121 is 3653489.

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., 7667576983521 + 5680404889600 = 2769039^2 + 2383360^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13347981873121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13347981873221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 178983681 + ... + 179058241.

Almost surely, 2^{13347981873121} is an apocalyptic number.

13347981873121 is the 3653489-th square number.

13347981873121 is the 1826745-th centered octagonal number.

It is an amenable number.

13347981873121 is a deficient number, since it is larger than the sum of its proper divisors (2223945936562).

13347981873121 is an frugal number, since it uses more digits than its factorization.

13347981873121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149150 (or 74568 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 58.

The spelling of 13347981873121 in words is "thirteen trillion, three hundred forty-seven billion, nine hundred eighty-one million, eight hundred seventy-three thousand, one hundred twenty-one".