313434313 has 2 divisors, whose sum is σ = 313434314. Its totient is φ = 313434312.

The previous prime is 313434293. The next prime is 313434323.

It is a happy number.

313434313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 273340089 + 40094224 = 16533^2 + 6332^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313434313 - 2⁵ = 313434281 is a prime.

It is not a weakly prime, because it can be changed into another prime (313434323) 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, 156717156 + 156717157.

It is an arithmetic number, because the mean of its divisors is an integer number (156717157).

Almost surely, 2^313434313 is an apocalyptic number.

It is an amenable number.

313434313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313434313 is an equidigital number, since it uses as much as digits as its factorization.

313434313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3888, while the sum is 25.

The square root of 313434313 is about 17704.0761690634. The cubic root of 313434313 is about 679.2800287786.

The spelling of 313434313 in words is "three hundred thirteen million, four hundred thirty-four thousand, three hundred thirteen".