4034310013 has 2 divisors, whose sum is σ = 4034310014. Its totient is φ = 4034310012.

The previous prime is 4034310011. The next prime is 4034310037. The reversal of 4034310013 is 3100134304.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2030583844 + 2003726169 = 45062^2 + 44763^2 .

It is a cyclic number.

It is not a de Polignac number, because 4034310013 - 2¹ = 4034310011 is a prime.

Together with 4034310011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4034310011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2017155006 + 2017155007.

It is an arithmetic number, because the mean of its divisors is an integer number (2017155007).

Almost surely, 2^4034310013 is an apocalyptic number.

It is an amenable number.

4034310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4034310013 is an equidigital number, since it uses as much as digits as its factorization.

4034310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4034310013 is about 63516.2185036232. The cubic root of 4034310013 is about 1591.9267825988.

Adding to 4034310013 its reverse (3100134304), we get a palindrome (7134444317).

The spelling of 4034310013 in words is "four billion, thirty-four million, three hundred ten thousand, thirteen".