311003023013 has 2 divisors, whose sum is σ = 311003023014. Its totient is φ = 311003023012.

The previous prime is 311003022971. The next prime is 311003023043. The reversal of 311003023013 is 310320300113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308299231009 + 2703792004 = 555247^2 + 51998^2 .

It is an emirp because it is prime and its reverse (310320300113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 311003023013 - 2¹⁸ = 311002760869 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311003022982 and 311003023000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (311003023043) 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, 155501511506 + 155501511507.

It is an arithmetic number, because the mean of its divisors is an integer number (155501511507).

Almost surely, 2^311003023013 is an apocalyptic number.

It is an amenable number.

311003023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

311003023013 is an equidigital number, since it uses as much as digits as its factorization.

311003023013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 311003023013 its reverse (310320300113), we get a palindrome (621323323126).

The spelling of 311003023013 in words is "three hundred eleven billion, three million, twenty-three thousand, thirteen".