5013131413 has 2 divisors, whose sum is σ = 5013131414. Its totient is φ = 5013131412.

The previous prime is 5013131407. The next prime is 5013131423. The reversal of 5013131413 is 3141313105.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3693843729 + 1319287684 = 60777^2 + 36322^2 .

It is a cyclic number.

It is not a de Polignac number, because 5013131413 - 2⁵ = 5013131381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (5013131423) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2506565706 + 2506565707.

It is an arithmetic number, because the mean of its divisors is an integer number (2506565707).

Almost surely, 2^5013131413 is an apocalyptic number.

It is an amenable number.

5013131413 is a deficient number, since it is larger than the sum of its proper divisors (1).

5013131413 is an equidigital number, since it uses as much as digits as its factorization.

5013131413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 5013131413 is about 70803.4703457394. The cubic root of 5013131413 is about 1711.4715981304.

Adding to 5013131413 its reverse (3141313105), we get a palindrome (8154444518).

The spelling of 5013131413 in words is "five billion, thirteen million, one hundred thirty-one thousand, four hundred thirteen".