180100100113 has 2 divisors, whose sum is σ = 180100100114. Its totient is φ = 180100100112.

The previous prime is 180100100003. The next prime is 180100100161. The reversal of 180100100113 is 311001001081.

180100100113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 178368541569 + 1731558544 = 422337^2 + 41612^2 .

It is a cyclic number.

It is not a de Polignac number, because 180100100113 - 2³³ = 171510165521 is a prime.

It is a super-2 number, since 2×180100100113² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (180100104113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 90050050056 + 90050050057.

It is an arithmetic number, because the mean of its divisors is an integer number (90050050057).

Almost surely, 2^180100100113 is an apocalyptic number.

It is an amenable number.

180100100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

180100100113 is an equidigital number, since it uses as much as digits as its factorization.

180100100113 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 16.

Adding to 180100100113 its reverse (311001001081), we get a palindrome (491101101194).

The spelling of 180100100113 in words is "one hundred eighty billion, one hundred million, one hundred thousand, one hundred thirteen".