313352323253313 has 8 divisors (see below), whose sum is σ = 429095073283968. Its totient is φ = 203255561029104.

The previous prime is 313352323253243. The next prime is 313352323253341.

313352323253313 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 313352323253313 - 2¹⁴ = 313352323236929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313352323253383) 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, 1411496951481 + ... + 1411496951702.

It is an arithmetic number, because the mean of its divisors is an integer number (53636884160496).

Almost surely, 2^{313352323253313} is an apocalyptic number.

It is an amenable number.

313352323253313 is a deficient number, since it is larger than the sum of its proper divisors (115742750030655).

313352323253313 is a wasteful number, since it uses less digits than its factorization.

313352323253313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822993903223.

The product of its digits is 1312200, while the sum is 42.

The spelling of 313352323253313 in words is "three hundred thirteen trillion, three hundred fifty-two billion, three hundred twenty-three million, two hundred fifty-three thousand, three hundred thirteen".