4008120013 has 2 divisors, whose sum is σ = 4008120014. Its totient is φ = 4008120012.

The previous prime is 4008120007. The next prime is 4008120019. The reversal of 4008120013 is 3100218004.

It is a balanced prime because it is at equal distance from previous prime (4008120007) and next prime (4008120019).

It can be written as a sum of positive squares in only one way, i.e., 2407079844 + 1601040169 = 49062^2 + 40013^2 .

It is a cyclic number.

It is not a de Polignac number, because 4008120013 - 2⁹ = 4008119501 is a prime.

It is a super-2 number, since 2×4008120013² = 32130052077222240338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4008120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2004060006 + 2004060007.

It is an arithmetic number, because the mean of its divisors is an integer number (2004060007).

Almost surely, 2^4008120013 is an apocalyptic number.

It is an amenable number.

4008120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4008120013 is an equidigital number, since it uses as much as digits as its factorization.

4008120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 4008120013 is about 63309.7149969892. The cubic root of 4008120013 is about 1588.4744690470.

Adding to 4008120013 its reverse (3100218004), we get a palindrome (7108338017).

The spelling of 4008120013 in words is "four billion, eight million, one hundred twenty thousand, thirteen".