13030001003017 has 2 divisors, whose sum is σ = 13030001003018. Its totient is φ = 13030001003016.

The previous prime is 13030001002981. The next prime is 13030001003039. The reversal of 13030001003017 is 71030010003031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9408550136896 + 3621450866121 = 3067336^2 + 1903011^2 .

It is a cyclic number.

It is not a de Polignac number, because 13030001003017 - 2¹⁵ = 13030000970249 is a prime.

It is a super-2 number, since 2×13030001003017² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13030001002985 and 13030001003003.

It is not a weakly prime, because it can be changed into another prime (13030001003087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515000501508 + 6515000501509.

It is an arithmetic number, because the mean of its divisors is an integer number (6515000501509).

Almost surely, 2^{13030001003017} is an apocalyptic number.

It is an amenable number.

13030001003017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13030001003017 is an equidigital number, since it uses as much as digits as its factorization.

13030001003017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 189, while the sum is 19.

Adding to 13030001003017 its reverse (71030010003031), we get a palindrome (84060011006048).

The spelling of 13030001003017 in words is "thirteen trillion, thirty billion, one million, three thousand, seventeen".