34200313013297 has 2 divisors, whose sum is σ = 34200313013298. Its totient is φ = 34200313013296.

The previous prime is 34200313013257. The next prime is 34200313013351. The reversal of 34200313013297 is 79231031300243.

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., 26214031361296 + 7986281652001 = 5119964^2 + 2826001^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34200313013297 is a prime.

It is a super-2 number, since 2×34200313013297² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34200313013297.

It is not a weakly prime, because it can be changed into another prime (34200313013257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100156506648 + 17100156506649.

It is an arithmetic number, because the mean of its divisors is an integer number (17100156506649).

Almost surely, 2^{34200313013297} is an apocalyptic number.

It is an amenable number.

34200313013297 is a deficient number, since it is larger than the sum of its proper divisors (1).

34200313013297 is an equidigital number, since it uses as much as digits as its factorization.

34200313013297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81648, while the sum is 38.

The spelling of 34200313013297 in words is "thirty-four trillion, two hundred billion, three hundred thirteen million, thirteen thousand, two hundred ninety-seven".