13023300311017 has 2 divisors, whose sum is σ = 13023300311018. Its totient is φ = 13023300311016.

The previous prime is 13023300310991. The next prime is 13023300311023. The reversal of 13023300311017 is 71011300332031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6982008237801 + 6041292073216 = 2642349^2 + 2457904^2 .

It is a cyclic number.

It is not a de Polignac number, because 13023300311017 - 2³¹ = 13021152827369 is a prime.

It is a super-3 number, since 3×13023300311017³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13023300310982 and 13023300311000.

It is not a weakly prime, because it can be changed into another prime (13023300311717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6511650155508 + 6511650155509.

It is an arithmetic number, because the mean of its divisors is an integer number (6511650155509).

Almost surely, 2^{13023300311017} is an apocalyptic number.

It is an amenable number.

13023300311017 is a deficient number, since it is larger than the sum of its proper divisors (1).

13023300311017 is an equidigital number, since it uses as much as digits as its factorization.

13023300311017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 13023300311017 its reverse (71011300332031), we get a palindrome (84034600643048).

The spelling of 13023300311017 in words is "thirteen trillion, twenty-three billion, three hundred million, three hundred eleven thousand, seventeen".