5008413312313 has 4 divisors (see below), whose sum is σ = 5033836730340. Its totient is φ = 4982989894288.

The previous prime is 5008413312269. The next prime is 5008413312319. The reversal of 5008413312313 is 3132133148005.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 4390755640569 + 617657671744 = 2095413^2 + 785912^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5008413312313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5008413312319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12711708718 + ... + 12711709111.

It is an arithmetic number, because the mean of its divisors is an integer number (1258459182585).

Almost surely, 2^{5008413312313} is an apocalyptic number.

It is an amenable number.

5008413312313 is a deficient number, since it is larger than the sum of its proper divisors (25423418027).

5008413312313 is a wasteful number, since it uses less digits than its factorization.

5008413312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25423418026.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 5008413312313 in words is "five trillion, eight billion, four hundred thirteen million, three hundred twelve thousand, three hundred thirteen".