34003340320313 has 16 divisors (see below), whose sum is σ = 41915554106496. Its totient is φ = 26861770229760.

The previous prime is 34003340320289. The next prime is 34003340320337. The reversal of 34003340320313 is 31302304330043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34003340320289) and next prime (34003340320337).

It is a cyclic number.

It is not a de Polignac number, because 34003340320313 - 2⁴² = 29605293809209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34003340320363) 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 in 15 ways as a sum of consecutive naturals, for example, 291410531 + ... + 291527192.

It is an arithmetic number, because the mean of its divisors is an integer number (2619722131656).

Almost surely, 2^{34003340320313} is an apocalyptic number.

It is an amenable number.

34003340320313 is a deficient number, since it is larger than the sum of its proper divisors (7912213786183).

34003340320313 is a wasteful number, since it uses less digits than its factorization.

34003340320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582938384.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 34003340320313 its reverse (31302304330043), we get a palindrome (65305644650356).

The spelling of 34003340320313 in words is "thirty-four trillion, three billion, three hundred forty million, three hundred twenty thousand, three hundred thirteen".