313444313 has 8 divisors (see below), whose sum is σ = 385777728. Its totient is φ = 247999824.

The previous prime is 313444301. The next prime is 313444321.

It is a happy number.

313444313 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 313444313 - 2¹² = 313440217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313444393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1722131 + ... + 1722312.

It is an arithmetic number, because the mean of its divisors is an integer number (48222216).

Almost surely, 2^313444313 is an apocalyptic number.

It is an amenable number.

313444313 is a deficient number, since it is larger than the sum of its proper divisors (72333415).

313444313 is a wasteful number, since it uses less digits than its factorization.

313444313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3444463.

The product of its digits is 5184, while the sum is 26.

The square root of 313444313 is about 17704.3585876473. The cubic root of 313444313 is about 679.2872527570.

The spelling of 313444313 in words is "three hundred thirteen million, four hundred forty-four thousand, three hundred thirteen".