305313011040013 has 2 divisors, whose sum is σ = 305313011040014. Its totient is φ = 305313011040012.

The previous prime is 305313011039957. The next prime is 305313011040029. The reversal of 305313011040013 is 310040110313503.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 199586454035049 + 105726557004964 = 14127507^2 + 10282342^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-305313011040013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 305313011040013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305313011043013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 152656505520006 + 152656505520007.

It is an arithmetic number, because the mean of its divisors is an integer number (152656505520007).

Almost surely, 2^{305313011040013} is an apocalyptic number.

It is an amenable number.

305313011040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

305313011040013 is an equidigital number, since it uses as much as digits as its factorization.

305313011040013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 25.

Adding to 305313011040013 its reverse (310040110313503), we get a palindrome (615353121353516).

The spelling of 305313011040013 in words is "three hundred five trillion, three hundred thirteen billion, eleven million, forty thousand, thirteen".