13006134564 has 12 divisors (see below), whose sum is σ = 30347647344. Its totient is φ = 4335378184.

The previous prime is 13006134539. The next prime is 13006134601. The reversal of 13006134564 is 46543160031.

13006134564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 541922262 + ... + 541922285.

It is an arithmetic number, because the mean of its divisors is an integer number (2528970612).

Almost surely, 2^13006134564 is an apocalyptic number.

It is an amenable number.

13006134564 is an abundant number, since it is smaller than the sum of its proper divisors (17341512780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13006134564 is a wasteful number, since it uses less digits than its factorization.

13006134564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083844554 (or 1083844552 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 13006134564 its reverse (46543160031), we get a palindrome (59549294595).

The spelling of 13006134564 in words is "thirteen billion, six million, one hundred thirty-four thousand, five hundred sixty-four".