34102122043313 has 2 divisors, whose sum is σ = 34102122043314. Its totient is φ = 34102122043312.

The previous prime is 34102122043277. The next prime is 34102122043333. The reversal of 34102122043313 is 31334022120143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25899213622129 + 8202908421184 = 5089127^2 + 2864072^2 .

It is a cyclic number.

It is not a de Polignac number, because 34102122043313 - 2⁸ = 34102122043057 is a prime.

It is not a weakly prime, because it can be changed into another prime (34102122043333) 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, 17051061021656 + 17051061021657.

It is an arithmetic number, because the mean of its divisors is an integer number (17051061021657).

Almost surely, 2^{34102122043313} is an apocalyptic number.

It is an amenable number.

34102122043313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34102122043313 is an equidigital number, since it uses as much as digits as its factorization.

34102122043313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 34102122043313 its reverse (31334022120143), we get a palindrome (65436144163456).

The spelling of 34102122043313 in words is "thirty-four trillion, one hundred two billion, one hundred twenty-two million, forty-three thousand, three hundred thirteen".