101312330193 has 24 divisors (see below), whose sum is σ = 146605893096. Its totient is φ = 67418956800.

The previous prime is 101312330191. The next prime is 101312330237. The reversal of 101312330193 is 391033213101.

101312330193 is a `hidden beast` number, since 1 + 0 + 1 + 312 + 330 + 19 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34896855249 + 66415474944 = 186807^2 + 257712^2 .

It is not a de Polignac number, because 101312330193 - 2¹ = 101312330191 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101312330191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17294721 + ... + 17300577.

It is an arithmetic number, because the mean of its divisors is an integer number (6108578879).

Almost surely, 2^101312330193 is an apocalyptic number.

It is an amenable number.

101312330193 is a deficient number, since it is larger than the sum of its proper divisors (45293562903).

101312330193 is a wasteful number, since it uses less digits than its factorization.

101312330193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9025 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

Adding to 101312330193 its reverse (391033213101), we get a palindrome (492345543294).

The spelling of 101312330193 in words is "one hundred one billion, three hundred twelve million, three hundred thirty thousand, one hundred ninety-three".