10300101313 has 2 divisors, whose sum is σ = 10300101314. Its totient is φ = 10300101312.

The previous prime is 10300101289. The next prime is 10300101319. The reversal of 10300101313 is 31310100301.

It is a happy number.

10300101313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7518277264 + 2781824049 = 86708^2 + 52743^2 .

It is an emirp because it is prime and its reverse (31310100301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10300101313 - 2⁹ = 10300100801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10300101293 and 10300101302.

It is not a weakly prime, because it can be changed into another prime (10300101319) 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, 5150050656 + 5150050657.

It is an arithmetic number, because the mean of its divisors is an integer number (5150050657).

Almost surely, 2^10300101313 is an apocalyptic number.

It is an amenable number.

10300101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300101313 is an equidigital number, since it uses as much as digits as its factorization.

10300101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10300101313 its reverse (31310100301), we get a palindrome (41610201614).

The spelling of 10300101313 in words is "ten billion, three hundred million, one hundred one thousand, three hundred thirteen".