180000113 has 2 divisors, whose sum is σ = 180000114. Its totient is φ = 180000112.

The previous prime is 180000089. The next prime is 180000133. The reversal of 180000113 is 311000081.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122589184 + 57410929 = 11072^2 + 7577^2 .

It is a cyclic number.

It is not a de Polignac number, because 180000113 - 2⁶ = 180000049 is a prime.

It is not a weakly prime, because it can be changed into another prime (180000133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90000056 + 90000057.

It is an arithmetic number, because the mean of its divisors is an integer number (90000057).

Almost surely, 2^180000113 is an apocalyptic number.

It is an amenable number.

180000113 is a deficient number, since it is larger than the sum of its proper divisors (1).

180000113 is an equidigital number, since it uses as much as digits as its factorization.

180000113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 180000113 is about 13416.4120762594. The cubic root of 180000113 is about 564.6217354809.

Adding to 180000113 its reverse (311000081), we get a palindrome (491000194).

The spelling of 180000113 in words is "one hundred eighty million, one hundred thirteen", and thus it is an aban number.