34003123313 has 2 divisors, whose sum is σ = 34003123314. Its totient is φ = 34003123312.

The previous prime is 34003123279. The next prime is 34003123379. The reversal of 34003123313 is 31332130043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20733696064 + 13269427249 = 143992^2 + 115193^2 .

It is an emirp because it is prime and its reverse (31332130043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34003123313 - 2⁸ = 34003123057 is a prime.

It is not a weakly prime, because it can be changed into another prime (34003123513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001561656 + 17001561657.

It is an arithmetic number, because the mean of its divisors is an integer number (17001561657).

Almost surely, 2^34003123313 is an apocalyptic number.

It is an amenable number.

34003123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34003123313 is an equidigital number, since it uses as much as digits as its factorization.

34003123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 34003123313 its reverse (31332130043), we get a palindrome (65335253356).

The spelling of 34003123313 in words is "thirty-four billion, three million, one hundred twenty-three thousand, three hundred thirteen".