2130313110017 has 2 divisors, whose sum is σ = 2130313110018. Its totient is φ = 2130313110016.

The previous prime is 2130313109933. The next prime is 2130313110043. The reversal of 2130313110017 is 7100113130312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2083241902336 + 47071207681 = 1443344^2 + 216959^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130313110017 - 2¹⁰ = 2130313108993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2130313109974 and 2130313110001.

It is not a weakly prime, because it can be changed into another prime (2130313110047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065156555008 + 1065156555009.

It is an arithmetic number, because the mean of its divisors is an integer number (1065156555009).

Almost surely, 2^{2130313110017} is an apocalyptic number.

It is an amenable number.

2130313110017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130313110017 is an equidigital number, since it uses as much as digits as its factorization.

2130313110017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 23.

Adding to 2130313110017 its reverse (7100113130312), we get a palindrome (9230426240329).

The spelling of 2130313110017 in words is "two trillion, one hundred thirty billion, three hundred thirteen million, one hundred ten thousand, seventeen".