10001300003 has 2 divisors, whose sum is σ = 10001300004. Its totient is φ = 10001300002.

The previous prime is 10001299963. The next prime is 10001300021. The reversal of 10001300003 is 30000310001.

10001300003 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (30000310001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10001300003 - 2²⁰ = 10000251427 is a prime.

It is not a weakly prime, because it can be changed into another prime (10001300083) 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 as a sum of consecutive naturals, namely, 5000650001 + 5000650002.

It is an arithmetic number, because the mean of its divisors is an integer number (5000650002).

Almost surely, 2^10001300003 is an apocalyptic number.

10001300003 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001300003 is an equidigital number, since it uses as much as digits as its factorization.

10001300003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

Adding to 10001300003 its reverse (30000310001), we get a palindrome (40001610004).

It can be divided in two parts, 10001 and 300003, that multiplied together give a palindrome (3000330003).

The spelling of 10001300003 in words is "ten billion, one million, three hundred thousand, three".