180013113 has 36 divisors (see below), whose sum is σ = 306359040. Its totient is φ = 101542896.

The previous prime is 180013073. The next prime is 180013129. The reversal of 180013113 is 311310081.

It is a happy number.

180013113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 180013113 - 2⁹ = 180012601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (180013193) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32256 + ... + 37422.

Almost surely, 2^180013113 is an apocalyptic number.

It is an amenable number.

180013113 is a deficient number, since it is larger than the sum of its proper divisors (126345927).

180013113 is a wasteful number, since it uses less digits than its factorization.

180013113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 180013113 is about 13416.8965487552. The cubic root of 180013113 is about 564.6353278906.

Adding to 180013113 its reverse (311310081), we get a palindrome (491323194).

The spelling of 180013113 in words is "one hundred eighty million, thirteen thousand, one hundred thirteen".