34421313013 has 2 divisors, whose sum is σ = 34421313014. Its totient is φ = 34421313012.

The previous prime is 34421313011. The next prime is 34421313037. The reversal of 34421313013 is 31031312443.

34421313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26574542289 + 7846770724 = 163017^2 + 88582^2 .

It is a cyclic number.

It is not a de Polignac number, because 34421313013 - 2¹ = 34421313011 is a prime.

Together with 34421313011, 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 (34421313011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17210656506 + 17210656507.

It is an arithmetic number, because the mean of its divisors is an integer number (17210656507).

Almost surely, 2^34421313013 is an apocalyptic number.

It is an amenable number.

34421313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34421313013 is an equidigital number, since it uses as much as digits as its factorization.

34421313013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 34421313013 its reverse (31031312443), we get a palindrome (65452625456).

The spelling of 34421313013 in words is "thirty-four billion, four hundred twenty-one million, three hundred thirteen thousand, thirteen".