31738666683713 has 32 divisors (see below), whose sum is σ = 35891795831040. Its totient is φ = 27800986026240.

The previous prime is 31738666683707. The next prime is 31738666683743.

31738666683713 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-31738666683713 is a prime.

It is a super-2 number, since 2×31738666683713² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31738666683743) 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, 402618020 + ... + 402696842.

It is an arithmetic number, because the mean of its divisors is an integer number (1121618619720).

Almost surely, 2^{31738666683713} is an apocalyptic number.

It is an amenable number.

31738666683713 is a deficient number, since it is larger than the sum of its proper divisors (4153129147327).

31738666683713 is a wasteful number, since it uses less digits than its factorization.

31738666683713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81449.

The product of its digits is 329204736, while the sum is 68.

The spelling of 31738666683713 in words is "thirty-one trillion, seven hundred thirty-eight billion, six hundred sixty-six million, six hundred eighty-three thousand, seven hundred thirteen".