180113 has 8 divisors (see below), whose sum is σ = 193536. Its totient is φ = 167200.

The previous prime is 180097. The next prime is 180137. The reversal of 180113 is 311081.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 180113 - 2⁴ = 180097 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180413) 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 7 ways as a sum of consecutive naturals, for example, 848 + ... + 1038.

It is an arithmetic number, because the mean of its divisors is an integer number (24192).

2¹⁸⁰¹¹³ is an apocalyptic number.

It is an amenable number.

180113 is a deficient number, since it is larger than the sum of its proper divisors (13423).

180113 is a wasteful number, since it uses less digits than its factorization.

180113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 180113 is about 424.3972195950. The cubic root of 180113 is about 56.4739744914.

Adding to 180113 its reverse (311081), we get a palindrome (491194).

The spelling of 180113 in words is "one hundred eighty thousand, one hundred thirteen".