34013033340313 has 2 divisors, whose sum is σ = 34013033340314. Its totient is φ = 34013033340312.

The previous prime is 34013033340301. The next prime is 34013033340359. The reversal of 34013033340313 is 31304333031043.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32203502584969 + 1809530755344 = 5674813^2 + 1345188^2 .

It is an emirp because it is prime and its reverse (31304333031043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34013033340313 - 2⁵ = 34013033340281 is a prime.

It is not a weakly prime, because it can be changed into another prime (34013033040313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17006516670156 + 17006516670157.

It is an arithmetic number, because the mean of its divisors is an integer number (17006516670157).

Almost surely, 2^{34013033340313} is an apocalyptic number.

It is an amenable number.

34013033340313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34013033340313 is an equidigital number, since it uses as much as digits as its factorization.

34013033340313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 34013033340313 its reverse (31304333031043), we get a palindrome (65317366371356).

The spelling of 34013033340313 in words is "thirty-four trillion, thirteen billion, thirty-three million, three hundred forty thousand, three hundred thirteen".