10313004499201 has 2 divisors, whose sum is σ = 10313004499202. Its totient is φ = 10313004499200.

The previous prime is 10313004499199. The next prime is 10313004499207. The reversal of 10313004499201 is 10299440031301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10266891231601 + 46113267600 = 3204199^2 + 214740^2 .

It is an emirp because it is prime and its reverse (10299440031301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10313004499201 - 2¹ = 10313004499199 is a prime.

Together with 10313004499199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10313004499207) 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, 5156502249600 + 5156502249601.

It is an arithmetic number, because the mean of its divisors is an integer number (5156502249601).

Almost surely, 2^{10313004499201} is an apocalyptic number.

It is an amenable number.

10313004499201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313004499201 is an equidigital number, since it uses as much as digits as its factorization.

10313004499201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 10313004499201 in words is "ten trillion, three hundred thirteen billion, four million, four hundred ninety-nine thousand, two hundred one".