3166133411331 has 48 divisors (see below), whose sum is σ = 5284109271168. Its totient is φ = 1805455123200.

The previous prime is 3166133411317. The next prime is 3166133411339. The reversal of 3166133411331 is 1331143316613.

3166133411331 is a `hidden beast` number, since 3 + 1 + 6 + 613 + 3 + 4 + 1 + 1 + 3 + 31 = 666.

It is not a de Polignac number, because 3166133411331 - 2²⁷ = 3165999193603 is a prime.

It is a super-2 number, since 2×3166133411331² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3166133411339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5394360 + ... + 5952426.

It is an arithmetic number, because the mean of its divisors is an integer number (110085609816).

Almost surely, 2^{3166133411331} is an apocalyptic number.

3166133411331 is a deficient number, since it is larger than the sum of its proper divisors (2117975859837).

3166133411331 is a wasteful number, since it uses less digits than its factorization.

3166133411331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561472 (or 561469 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

Adding to 3166133411331 its reverse (1331143316613), we get a palindrome (4497276727944).

The spelling of 3166133411331 in words is "three trillion, one hundred sixty-six billion, one hundred thirty-three million, four hundred eleven thousand, three hundred thirty-one".