1003001300003 has 2 divisors, whose sum is σ = 1003001300004. Its totient is φ = 1003001300002.

The previous prime is 1003001299931. The next prime is 1003001300017. The reversal of 1003001300003 is 3000031003001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1003001300003 - 2²⁰ = 1003000251427 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003001300503) 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, 501500650001 + 501500650002.

It is an arithmetic number, because the mean of its divisors is an integer number (501500650002).

Almost surely, 2^{1003001300003} is an apocalyptic number.

1003001300003 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003001300003 is an equidigital number, since it uses as much as digits as its factorization.

1003001300003 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

Adding to 1003001300003 its reverse (3000031003001), we get a palindrome (4003032303004).

It can be divided in two parts, 1003001 and 300003, that multiplied together give a palindrome (300903309003).

The spelling of 1003001300003 in words is "one trillion, three billion, one million, three hundred thousand, three".