34523340013 has 2 divisors, whose sum is σ = 34523340014. Its totient is φ = 34523340012.

The previous prime is 34523340011. The next prime is 34523340017. The reversal of 34523340013 is 31004332543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20824510249 + 13698829764 = 144307^2 + 117042^2 .

It is a cyclic number.

It is not a de Polignac number, because 34523340013 - 2¹ = 34523340011 is a prime.

It is a super-2 number, since 2×34523340013² (a number of 22 digits) contains 22 as substring.

Together with 34523340011, 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 (34523340011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17261670006 + 17261670007.

It is an arithmetic number, because the mean of its divisors is an integer number (17261670007).

Almost surely, 2^34523340013 is an apocalyptic number.

It is an amenable number.

34523340013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34523340013 is an equidigital number, since it uses as much as digits as its factorization.

34523340013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 34523340013 its reverse (31004332543), we get a palindrome (65527672556).

The spelling of 34523340013 in words is "thirty-four billion, five hundred twenty-three million, three hundred forty thousand, thirteen".