34201313 has 2 divisors, whose sum is σ = 34201314. Its totient is φ = 34201312.

The previous prime is 34201267. The next prime is 34201333. The reversal of 34201313 is 31310243.

It is a happy number.

34201313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34199104 + 2209 = 5848^2 + 47^2 .

It is a cyclic number.

It is not a de Polignac number, because 34201313 - 2¹⁰ = 34200289 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34201291 and 34201300.

It is not a weakly prime, because it can be changed into another prime (34201333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17100656 + 17100657.

It is an arithmetic number, because the mean of its divisors is an integer number (17100657).

Almost surely, 2^34201313 is an apocalyptic number.

It is an amenable number.

34201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

34201313 is an equidigital number, since it uses as much as digits as its factorization.

34201313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 34201313 is about 5848.1888649393. The cubic root of 34201313 is about 324.5993105360.

Adding to 34201313 its reverse (31310243), we get a palindrome (65511556).

The spelling of 34201313 in words is "thirty-four million, two hundred one thousand, three hundred thirteen".