34123313201 has 2 divisors, whose sum is σ = 34123313202. Its totient is φ = 34123313200.

The previous prime is 34123313177. The next prime is 34123313249. The reversal of 34123313201 is 10231332143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30484810801 + 3638502400 = 174599^2 + 60320^2 .

It is an emirp because it is prime and its reverse (10231332143) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34123313201 - 2¹⁰ = 34123312177 is a prime.

It is not a weakly prime, because it can be changed into another prime (34123393201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17061656600 + 17061656601.

It is an arithmetic number, because the mean of its divisors is an integer number (17061656601).

Almost surely, 2^34123313201 is an apocalyptic number.

It is an amenable number.

34123313201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34123313201 is an equidigital number, since it uses as much as digits as its factorization.

34123313201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 34123313201 its reverse (10231332143), we get a palindrome (44354645344).

The spelling of 34123313201 in words is "thirty-four billion, one hundred twenty-three million, three hundred thirteen thousand, two hundred one".