313022231322113 has 8 divisors (see below), whose sum is σ = 313047537565320. Its totient is φ = 312996925696000.

The previous prime is 313022231322041. The next prime is 313022231322167. The reversal of 313022231322113 is 311223132220313.

It can be written as a sum of positive squares in 4 ways, for example, as 8141018443009 + 304881212879104 = 2853247^2 + 17460848^2 .

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 313022231322113 - 2³⁰ = 313021157580289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313022231322193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1819800113 + ... + 1819972113.

It is an arithmetic number, because the mean of its divisors is an integer number (39130942195665).

Almost surely, 2^{313022231322113} is an apocalyptic number.

It is an amenable number.

313022231322113 is a deficient number, since it is larger than the sum of its proper divisors (25306243207).

313022231322113 is a wasteful number, since it uses less digits than its factorization.

313022231322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308547.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 313022231322113 its reverse (311223132220313), we get a palindrome (624245363542426).

The spelling of 313022231322113 in words is "three hundred thirteen trillion, twenty-two billion, two hundred thirty-one million, three hundred twenty-two thousand, one hundred thirteen".