5138813313 has 32 divisors (see below), whose sum is σ = 7654483200. Its totient is φ = 3407298048.

The previous prime is 5138813293. The next prime is 5138813347. The reversal of 5138813313 is 3133188315.

It is a happy number.

5138813313 is a `hidden beast` number, since 513 + 8 + 8 + 133 + 1 + 3 = 666.

It is not a de Polignac number, because 5138813313 - 2⁹ = 5138812801 is a prime.

It is a super-3 number, since 3×5138813313³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5138818313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7068156 + ... + 7068882.

It is an arithmetic number, because the mean of its divisors is an integer number (239202600).

Almost surely, 2^5138813313 is an apocalyptic number.

It is an amenable number.

5138813313 is a deficient number, since it is larger than the sum of its proper divisors (2515669887).

5138813313 is a wasteful number, since it uses less digits than its factorization.

5138813313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 5138813313 is about 71685.5167589660. The cubic root of 5138813313 is about 1725.6562161183.

The spelling of 5138813313 in words is "five billion, one hundred thirty-eight million, eight hundred thirteen thousand, three hundred thirteen".