100413244341 has 12 divisors (see below), whose sum is σ = 145605719532. Its totient is φ = 66681686016.

The previous prime is 100413244331. The next prime is 100413244391. The reversal of 100413244341 is 143442314001.

100413244341 is a `hidden beast` number, since 1 + 0 + 0 + 413 + 244 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90282821841 + 10130422500 = 300471^2 + 100650^2 .

It is not a de Polignac number, because 100413244341 - 2⁶ = 100413244277 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100413244331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21703966 + ... + 21708591.

It is an arithmetic number, because the mean of its divisors is an integer number (12133809961).

Almost surely, 2^100413244341 is an apocalyptic number.

It is an amenable number.

100413244341 is a deficient number, since it is larger than the sum of its proper divisors (45192475191).

100413244341 is a wasteful number, since it uses less digits than its factorization.

100413244341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43412820 (or 43412817 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 100413244341 its reverse (143442314001), we get a palindrome (243855558342).

The spelling of 100413244341 in words is "one hundred billion, four hundred thirteen million, two hundred forty-four thousand, three hundred forty-one".