13180167 has 108 divisors (see below), whose sum is σ = 27594840. Its totient is φ = 5987520.

The previous prime is 13180157. The next prime is 13180169. The reversal of 13180167 is 76108131.

13180167 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13180167 - 2¹¹ = 13178119 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13180167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 693684 + ... + 693702.

Almost surely, 2^13180167 is an apocalyptic number.

13180167 is an abundant number, since it is smaller than the sum of its proper divisors (14414673).

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

13180167 is a wasteful number, since it uses less digits than its factorization.

13180167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 13180167 is about 3630.4499721109. The cubic root of 13180167 is about 236.2147272442.

Adding to 13180167 its reverse (76108131), we get a palindrome (89288298).

The spelling of 13180167 in words is "thirteen million, one hundred eighty thousand, one hundred sixty-seven".