34023033313 has 2 divisors, whose sum is σ = 34023033314. Its totient is φ = 34023033312.

The previous prime is 34023033311. The next prime is 34023033329. The reversal of 34023033313 is 31333032043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33956169984 + 66863329 = 184272^2 + 8177^2 .

It is a cyclic number.

It is not a de Polignac number, because 34023033313 - 2¹ = 34023033311 is a prime.

Together with 34023033311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34023033311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17011516656 + 17011516657.

It is an arithmetic number, because the mean of its divisors is an integer number (17011516657).

Almost surely, 2^34023033313 is an apocalyptic number.

It is an amenable number.

34023033313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34023033313 is an equidigital number, since it uses as much as digits as its factorization.

34023033313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 34023033313 its reverse (31333032043), we get a palindrome (65356065356).

The spelling of 34023033313 in words is "thirty-four billion, twenty-three million, thirty-three thousand, three hundred thirteen".