34131344313193 has 2 divisors, whose sum is σ = 34131344313194. Its totient is φ = 34131344313192.

The previous prime is 34131344313109. The next prime is 34131344313239. The reversal of 34131344313193 is 39131344313143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33944233564224 + 187110748969 = 5826168^2 + 432563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34131344313193 is a prime.

It is not a weakly prime, because it can be changed into another prime (34131344313593) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17065672156596 + 17065672156597.

It is an arithmetic number, because the mean of its divisors is an integer number (17065672156597).

Almost surely, 2^{34131344313193} is an apocalyptic number.

It is an amenable number.

34131344313193 is a deficient number, since it is larger than the sum of its proper divisors (1).

34131344313193 is an equidigital number, since it uses as much as digits as its factorization.

34131344313193 is an evil number, because the sum of its binary digits is even.

The product of its digits is 419904, while the sum is 43.

The spelling of 34131344313193 in words is "thirty-four trillion, one hundred thirty-one billion, three hundred forty-four million, three hundred thirteen thousand, one hundred ninety-three".