4140000013 has 2 divisors, whose sum is σ = 4140000014. Its totient is φ = 4140000012.

The previous prime is 4140000001. The next prime is 4140000019. The reversal of 4140000013 is 3100000414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2978758084 + 1161241929 = 54578^2 + 34077^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140000013 - 2²¹ = 4137902861 is a prime.

It is a super-3 number, since 3×4140000013³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4139999948 and 4140000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4140000019) 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, 2070000006 + 2070000007.

It is an arithmetic number, because the mean of its divisors is an integer number (2070000007).

Almost surely, 2^4140000013 is an apocalyptic number.

It is an amenable number.

4140000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140000013 is an equidigital number, since it uses as much as digits as its factorization.

4140000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4140000013 is about 64342.8318696030. The cubic root of 4140000013 is about 1605.7087753119.

Adding to 4140000013 its reverse (3100000414), we get a palindrome (7240000427).

The spelling of 4140000013 in words is "four billion, one hundred forty million, thirteen", and thus it is an aban number.