10300313113 has 2 divisors, whose sum is σ = 10300313114. Its totient is φ = 10300313112.

The previous prime is 10300313071. The next prime is 10300313129. The reversal of 10300313113 is 31131300301.

10300313113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10300313129) can be obtained adding 10300313113 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8177223184 + 2123089929 = 90428^2 + 46077^2 .

It is an emirp because it is prime and its reverse (31131300301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10300313113 - 2⁹ = 10300312601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10300311113) 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, 5150156556 + 5150156557.

It is an arithmetic number, because the mean of its divisors is an integer number (5150156557).

Almost surely, 2^10300313113 is an apocalyptic number.

It is an amenable number.

10300313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300313113 is an equidigital number, since it uses as much as digits as its factorization.

10300313113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10300313113 its reverse (31131300301), we get a palindrome (41431613414).

The spelling of 10300313113 in words is "ten billion, three hundred million, three hundred thirteen thousand, one hundred thirteen".