313042323240313 has 16 divisors (see below), whose sum is σ = 315720017141760. Its totient is φ = 310375537635600.

The previous prime is 313042323240289. The next prime is 313042323240349.

It is a happy number.

313042323240313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 313042323240313 - 2²¹ = 313042321143161 is a prime.

It is a super-3 number, since 3×313042323240313³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313042323240113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520413108 + ... + 1520618986.

It is an arithmetic number, because the mean of its divisors is an integer number (19732501071360).

Almost surely, 2^{313042323240313} is an apocalyptic number.

It is an amenable number.

313042323240313 is a deficient number, since it is larger than the sum of its proper divisors (2677693901447).

313042323240313 is a wasteful number, since it uses less digits than its factorization.

313042323240313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232308.

The product of its (nonzero) digits is 93312, while the sum is 34.

The spelling of 313042323240313 in words is "three hundred thirteen trillion, forty-two billion, three hundred twenty-three million, two hundred forty thousand, three hundred thirteen".