13120818219289 has 9 divisors (see below), whose sum is σ = 14422100186431. Its totient is φ = 11927980340320.

The previous prime is 13120818219263. The next prime is 13120818219319. The reversal of 13120818219289 is 98291281802131.

It is a happy number.

The square root of 13120818219289 is 3622267.

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., 2031864939225 + 11088953280064 = 1425435^2 + 3330008^2 .

It is not a de Polignac number, because 13120818219289 - 2⁹ = 13120818218777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13120818211289) 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, 39680289 + ... + 40009585.

Almost surely, 2^{13120818219289} is an apocalyptic number.

13120818219289 is the 3622267-th square number.

13120818219289 is the 1811134-th centered octagonal number.

It is an amenable number.

13120818219289 is a deficient number, since it is larger than the sum of its proper divisors (1301281967142).

13120818219289 is an frugal number, since it uses more digits than its factorization.

13120818219289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658616 (or 329308 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 55.

The spelling of 13120818219289 in words is "thirteen trillion, one hundred twenty billion, eight hundred eighteen million, two hundred nineteen thousand, two hundred eighty-nine".