313131424131313 has 32 divisors (see below), whose sum is σ = 321003985024800. Its totient is φ = 305381184768000.

The previous prime is 313131424131307. The next prime is 313131424131341.

313131424131313 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 100645177290849 + 212486246840464 = 10032207^2 + 14576908^2 .

It is a cyclic number.

It is not a de Polignac number, because 313131424131313 - 2⁹ = 313131424130801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313134424131313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540166843 + ... + 2540290111.

It is an arithmetic number, because the mean of its divisors is an integer number (10031374532025).

Almost surely, 2^{313131424131313} is an apocalyptic number.

It is an amenable number.

313131424131313 is a deficient number, since it is larger than the sum of its proper divisors (7872560893487).

313131424131313 is a wasteful number, since it uses less digits than its factorization.

313131424131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124533.

The product of its digits is 23328, while the sum is 34.

The spelling of 313131424131313 in words is "three hundred thirteen trillion, one hundred thirty-one billion, four hundred twenty-four million, one hundred thirty-one thousand, three hundred thirteen".