13005000167 has 16 divisors (see below), whose sum is σ = 14228914560. Its totient is φ = 11843057952.

The previous prime is 13005000121. The next prime is 13005000181. The reversal of 13005000167 is 76100050031.

13005000167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13005000167 - 2⁸ = 13004999911 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13005002167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 53093 + ... + 169790.

It is an arithmetic number, because the mean of its divisors is an integer number (889307160).

Almost surely, 2^13005000167 is an apocalyptic number.

13005000167 is a deficient number, since it is larger than the sum of its proper divisors (1223914393).

13005000167 is a wasteful number, since it uses less digits than its factorization.

13005000167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223022.

The product of its (nonzero) digits is 630, while the sum is 23.

Adding to 13005000167 its reverse (76100050031), we get a palindrome (89105050198).

The spelling of 13005000167 in words is "thirteen billion, five million, one hundred sixty-seven", and thus it is an aban number.