10004123313 has 24 divisors (see below), whose sum is σ = 14503297536. Its totient is φ = 6645048000.

The previous prime is 10004123299. The next prime is 10004123323. The reversal of 10004123313 is 31332140001.

10004123313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10004123313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10004123323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254088 + ... + 4256438.

It is an arithmetic number, because the mean of its divisors is an integer number (604304064).

Almost surely, 2^10004123313 is an apocalyptic number.

It is an amenable number.

10004123313 is a deficient number, since it is larger than the sum of its proper divisors (4499174223).

10004123313 is a wasteful number, since it uses less digits than its factorization.

10004123313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3885 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10004123313 its reverse (31332140001), we get a palindrome (41336263314).

The spelling of 10004123313 in words is "ten billion, four million, one hundred twenty-three thousand, three hundred thirteen".