34104403244113 has 2 divisors, whose sum is σ = 34104403244114. Its totient is φ = 34104403244112.

The previous prime is 34104403244099. The next prime is 34104403244137. The reversal of 34104403244113 is 31144230440143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23645724859969 + 10458678384144 = 4862687^2 + 3233988^2 .

It is an emirp because it is prime and its reverse (31144230440143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34104403244113 is a prime.

It is a super-2 number, since 2×34104403244113² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34104403244183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17052201622056 + 17052201622057.

It is an arithmetic number, because the mean of its divisors is an integer number (17052201622057).

Almost surely, 2^{34104403244113} is an apocalyptic number.

It is an amenable number.

34104403244113 is a deficient number, since it is larger than the sum of its proper divisors (1).

34104403244113 is an equidigital number, since it uses as much as digits as its factorization.

34104403244113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 34104403244113 its reverse (31144230440143), we get a palindrome (65248633684256).

The spelling of 34104403244113 in words is "thirty-four trillion, one hundred four billion, four hundred three million, two hundred forty-four thousand, one hundred thirteen".