10003268813 has 16 divisors (see below), whose sum is σ = 10763383680. Its totient is φ = 9274609344.

The previous prime is 10003268783. The next prime is 10003268819. The reversal of 10003268813 is 31886230001.

It is a happy number.

10003268813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10003268813 - 2⁶ = 10003268749 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10003268813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003268819) 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 15 ways as a sum of consecutive naturals, for example, 51743 + ... + 150611.

It is an arithmetic number, because the mean of its divisors is an integer number (672711480).

Almost surely, 2^10003268813 is an apocalyptic number.

It is an amenable number.

10003268813 is a deficient number, since it is larger than the sum of its proper divisors (760114867).

10003268813 is an equidigital number, since it uses as much as digits as its factorization.

10003268813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99028.

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 10003268813 its reverse (31886230001), we get a palindrome (41889498814).

The spelling of 10003268813 in words is "ten billion, three million, two hundred sixty-eight thousand, eight hundred thirteen".