13128835104009 has 12 divisors (see below), whose sum is σ = 19230969730752. Its totient is φ = 8629281288600.

The previous prime is 13128835103983. The next prime is 13128835104023. The reversal of 13128835104009 is 90040153882131.

13128835104009 is a `hidden beast` number, since 1 + 3 + 12 + 8 + 83 + 510 + 40 + 0 + 9 = 666.

It is not a de Polignac number, because 13128835104009 - 2²³ = 13128826715401 is a prime.

It is a super-2 number, since 2×13128835104009² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13128835100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10272953277 + ... + 10272954554.

It is an arithmetic number, because the mean of its divisors is an integer number (1602580810896).

Almost surely, 2^{13128835104009} is an apocalyptic number.

It is an amenable number.

13128835104009 is a deficient number, since it is larger than the sum of its proper divisors (6102134626743).

13128835104009 is a wasteful number, since it uses less digits than its factorization.

13128835104009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20545907908 (or 20545907905 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 13128835104009 in words is "thirteen trillion, one hundred twenty-eight billion, eight hundred thirty-five million, one hundred four thousand, nine".