166000631001331 has 24 divisors (see below), whose sum is σ = 194534247697920. Its totient is φ = 141235314267600.

The previous prime is 166000631001323. The next prime is 166000631001367. The reversal of 166000631001331 is 133100136000661.

It is a happy number.

It is not a de Polignac number, because 166000631001331 - 2³ = 166000631001323 is a prime.

It is a super-2 number, since 2×166000631001331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 166000631001293 and 166000631001302.

It is not an unprimeable number, because it can be changed into a prime (166000631001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19146885 + ... + 26431126.

It is an arithmetic number, because the mean of its divisors is an integer number (8105593654080).

Almost surely, 2^{166000631001331} is an apocalyptic number.

166000631001331 is a deficient number, since it is larger than the sum of its proper divisors (28533616696589).

166000631001331 is a wasteful number, since it uses less digits than its factorization.

166000631001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45578575 (or 45578568 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

Adding to 166000631001331 its reverse (133100136000661), we get a palindrome (299100767001992).

The spelling of 166000631001331 in words is "one hundred sixty-six trillion, six hundred thirty-one million, one thousand, three hundred thirty-one".