4013313013 has 2 divisors, whose sum is σ = 4013313014. Its totient is φ = 4013313012.

The previous prime is 4013313001. The next prime is 4013313061. The reversal of 4013313013 is 3103133104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2873710449 + 1139602564 = 53607^2 + 33758^2 .

It is a cyclic number.

It is not a de Polignac number, because 4013313013 - 2¹³ = 4013304821 is a prime.

It is a super-2 number, since 2×4013313013² = 32213362680630276338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4013313613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006656506 + 2006656507.

It is an arithmetic number, because the mean of its divisors is an integer number (2006656507).

Almost surely, 2^4013313013 is an apocalyptic number.

It is an amenable number.

4013313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013313013 is an equidigital number, since it uses as much as digits as its factorization.

4013313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 4013313013 is about 63350.7143842909. The cubic root of 4013313013 is about 1589.1601926907.

Adding to 4013313013 its reverse (3103133104), we get a palindrome (7116446117).

The spelling of 4013313013 in words is "four billion, thirteen million, three hundred thirteen thousand, thirteen".