34002331100393 has 2 divisors, whose sum is σ = 34002331100394. Its totient is φ = 34002331100392.

The previous prime is 34002331100383. The next prime is 34002331100429. The reversal of 34002331100393 is 39300113320043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33986428124944 + 15902975449 = 5829788^2 + 126107^2 .

It is a cyclic number.

It is not a de Polignac number, because 34002331100393 - 2⁴ = 34002331100377 is a prime.

It is not a weakly prime, because it can be changed into another prime (34002331100383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17001165550196 + 17001165550197.

It is an arithmetic number, because the mean of its divisors is an integer number (17001165550197).

Almost surely, 2^{34002331100393} is an apocalyptic number.

It is an amenable number.

34002331100393 is a deficient number, since it is larger than the sum of its proper divisors (1).

34002331100393 is an equidigital number, since it uses as much as digits as its factorization.

34002331100393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 34002331100393 in words is "thirty-four trillion, two billion, three hundred thirty-one million, one hundred thousand, three hundred ninety-three".