4005213313 has 2 divisors, whose sum is σ = 4005213314. Its totient is φ = 4005213312.

The previous prime is 4005213253. The next prime is 4005213383. The reversal of 4005213313 is 3133125004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3762227569 + 242985744 = 61337^2 + 15588^2 .

It is a cyclic number.

It is not a de Polignac number, because 4005213313 - 2²⁹ = 3468342401 is a prime.

It is not a weakly prime, because it can be changed into another prime (4005213383) 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, 2002606656 + 2002606657.

It is an arithmetic number, because the mean of its divisors is an integer number (2002606657).

Almost surely, 2^4005213313 is an apocalyptic number.

It is an amenable number.

4005213313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4005213313 is an equidigital number, since it uses as much as digits as its factorization.

4005213313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 4005213313 is about 63286.7546410779. The cubic root of 4005213313 is about 1588.0903874564.

Adding to 4005213313 its reverse (3133125004), we get a palindrome (7138338317).

The spelling of 4005213313 in words is "four billion, five million, two hundred thirteen thousand, three hundred thirteen".