100041124313 has 8 divisors (see below), whose sum is σ = 108005270856. Its totient is φ = 92115360000.

The previous prime is 100041124279. The next prime is 100041124321. The reversal of 100041124313 is 313421140001.

It can be written as a sum of positive squares in 4 ways, for example, as 53920555264 + 46120569049 = 232208^2 + 214757^2 .

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 100041124313 - 2¹⁰ = 100041123289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100041123313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9590138 + ... + 9600563.

It is an arithmetic number, because the mean of its divisors is an integer number (13500658857).

Almost surely, 2^100041124313 is an apocalyptic number.

100041124313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100041124313 is a deficient number, since it is larger than the sum of its proper divisors (7964146543).

100041124313 is a wasteful number, since it uses less digits than its factorization.

100041124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19191115.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100041124313 its reverse (313421140001), we get a palindrome (413462264314).

The spelling of 100041124313 in words is "one hundred billion, forty-one million, one hundred twenty-four thousand, three hundred thirteen".