13566434013 has 16 divisors (see below), whose sum is σ = 21925550400. Its totient is φ = 8222081040.

The previous prime is 13566433967. The next prime is 13566434033. The reversal of 13566434013 is 31043466531.

13566434013 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 643 + 4 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 13566434013 - 2¹⁶ = 13566368477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13566434033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22838818 + ... + 22839411.

It is an arithmetic number, because the mean of its divisors is an integer number (1370346900).

Almost surely, 2^13566434013 is an apocalyptic number.

It is an amenable number.

13566434013 is a deficient number, since it is larger than the sum of its proper divisors (8359116387).

13566434013 is a wasteful number, since it uses less digits than its factorization.

13566434013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45678249 (or 45678243 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13566434013 in words is "thirteen billion, five hundred sixty-six million, four hundred thirty-four thousand, thirteen".