31728682713 has 48 divisors (see below), whose sum is σ = 53072005056. Its totient is φ = 16712438400.

The previous prime is 31728682633. The next prime is 31728682757.

31728682713 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31728682713 - 2⁹ = 31728682201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31728682793) 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 47 ways as a sum of consecutive naturals, for example, 1389438 + ... + 1412088.

It is an arithmetic number, because the mean of its divisors is an integer number (1105666772).

Almost surely, 2^31728682713 is an apocalyptic number.

It is an amenable number.

31728682713 is a deficient number, since it is larger than the sum of its proper divisors (21343322343).

31728682713 is a wasteful number, since it uses less digits than its factorization.

31728682713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23414 (or 23407 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 31728682713 in words is "thirty-one billion, seven hundred twenty-eight million, six hundred eighty-two thousand, seven hundred thirteen".