313546686645313 has 48 divisors (see below), whose sum is σ = 361862852198400. Its totient is φ = 271117195826400.

The previous prime is 313546686645253. The next prime is 313546686645389.

313546686645313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313546686645313 - 2⁴¹ = 311347663389761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313546686642313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1111494078 + ... + 1111776136.

It is an arithmetic number, because the mean of its divisors is an integer number (7538809420800).

Almost surely, 2^{313546686645313} is an apocalyptic number.

It is an amenable number.

313546686645313 is a deficient number, since it is larger than the sum of its proper divisors (48316165553087).

313546686645313 is a wasteful number, since it uses less digits than its factorization.

313546686645313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287194 (or 287183 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 64.

The spelling of 313546686645313 in words is "three hundred thirteen trillion, five hundred forty-six billion, six hundred eighty-six million, six hundred forty-five thousand, three hundred thirteen".