34220013013 has 2 divisors, whose sum is σ = 34220013014. Its totient is φ = 34220013012.

The previous prime is 34220013011. The next prime is 34220013017. The reversal of 34220013013 is 31031002243.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32566533444 + 1653479569 = 180462^2 + 40663^2 .

It is a cyclic number.

It is not a de Polignac number, because 34220013013 - 2¹ = 34220013011 is a prime.

Together with 34220013011, 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 (34220013011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17110006506 + 17110006507.

It is an arithmetic number, because the mean of its divisors is an integer number (17110006507).

Almost surely, 2^34220013013 is an apocalyptic number.

It is an amenable number.

34220013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

34220013013 is an equidigital number, since it uses as much as digits as its factorization.

34220013013 is an evil number, because the sum of its binary digits is even.

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

Adding to 34220013013 its reverse (31031002243), we get a palindrome (65251015256).

The spelling of 34220013013 in words is "thirty-four billion, two hundred twenty million, thirteen thousand, thirteen".