166322117313 has 30 divisors (see below), whose sum is σ = 273096826002. Its totient is φ = 100801277280.

The previous prime is 166322117249. The next prime is 166322117323. The reversal of 166322117313 is 313711223661.

166322117313 is a `hidden beast` number, since 1 + 6 + 6 + 322 + 1 + 17 + 313 = 666.

It can be written as a sum of positive squares in only one way, i.e., 165398382864 + 923734449 = 406692^2 + 30393^2 .

It is not a de Polignac number, because 166322117313 - 2⁶ = 166322117249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166322117323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8475156 + ... + 8494757.

Almost surely, 2^166322117313 is an apocalyptic number.

It is an amenable number.

166322117313 is a deficient number, since it is larger than the sum of its proper divisors (106774708689).

166322117313 is a wasteful number, since it uses less digits than its factorization.

166322117313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16969947 (or 16969927 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 166322117313 in words is "one hundred sixty-six billion, three hundred twenty-two million, one hundred seventeen thousand, three hundred thirteen".