313342101243313 has 16 divisors (see below), whose sum is σ = 317173454184960. Its totient is φ = 309525320736000.

The previous prime is 313342101243247. The next prime is 313342101243319.

313342101243313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313342101243313 - 2⁹ = 313342101242801 is a prime.

It is a super-2 number, since 2×313342101243313² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313342101243319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224605618 + ... + 225996388.

It is an arithmetic number, because the mean of its divisors is an integer number (19823340886560).

Almost surely, 2^{313342101243313} is an apocalyptic number.

It is an amenable number.

313342101243313 is a deficient number, since it is larger than the sum of its proper divisors (3831352941647).

313342101243313 is a wasteful number, since it uses less digits than its factorization.

313342101243313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396008.

The product of its (nonzero) digits is 46656, while the sum is 34.

It can be divided in two parts, 31334210 and 1243313, that added together give a palindrome (32577523).

The spelling of 313342101243313 in words is "three hundred thirteen trillion, three hundred forty-two billion, one hundred one million, two hundred forty-three thousand, three hundred thirteen".