13006728963 has 24 divisors (see below), whose sum is σ = 18840111680. Its totient is φ = 8646912000.

The previous prime is 13006728893. The next prime is 13006728979. The reversal of 13006728963 is 36982760031.

13006728963 is a `hidden beast` number, since 1 + 300 + 6 + 7 + 289 + 63 = 666.

It is not a de Polignac number, because 13006728963 - 2¹² = 13006724867 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13006728263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7792293 + ... + 7793961.

Almost surely, 2^13006728963 is an apocalyptic number.

13006728963 is a deficient number, since it is larger than the sum of its proper divisors (5833382717).

13006728963 is a wasteful number, since it uses less digits than its factorization.

13006728963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13006728963 in words is "thirteen billion, six million, seven hundred twenty-eight thousand, nine hundred sixty-three".