1003100013217 has 2 divisors, whose sum is σ = 1003100013218. Its totient is φ = 1003100013216.

The previous prime is 1003100013211. The next prime is 1003100013257. The reversal of 1003100013217 is 7123100013001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 700810076736 + 302289936481 = 837144^2 + 549809^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003100013217 - 2¹⁹ = 1003099488929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1003100013194 and 1003100013203.

It is not a weakly prime, because it can be changed into another prime (1003100013211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501550006608 + 501550006609.

It is an arithmetic number, because the mean of its divisors is an integer number (501550006609).

Almost surely, 2^{1003100013217} is an apocalyptic number.

It is an amenable number.

1003100013217 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003100013217 is an equidigital number, since it uses as much as digits as its factorization.

1003100013217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 19.

Adding to 1003100013217 its reverse (7123100013001), we get a palindrome (8126200026218).

The spelling of 1003100013217 in words is "one trillion, three billion, one hundred million, thirteen thousand, two hundred seventeen".