31364646313 has 64 divisors (see below), whose sum is σ = 42815324160. Its totient is φ = 22371370560.

The previous prime is 31364646307. The next prime is 31364646323.

31364646313 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-31364646313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31364646323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15381348 + ... + 15383386.

It is an arithmetic number, because the mean of its divisors is an integer number (668989440).

Almost surely, 2^31364646313 is an apocalyptic number.

It is an amenable number.

31364646313 is a deficient number, since it is larger than the sum of its proper divisors (11450677847).

31364646313 is a wasteful number, since it uses less digits than its factorization.

31364646313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2197 counting only the distinct ones).

The product of its digits is 279936, while the sum is 40.

The spelling of 31364646313 in words is "thirty-one billion, three hundred sixty-four million, six hundred forty-six thousand, three hundred thirteen".