13005314166 has 32 divisors (see below), whose sum is σ = 29229338880. Its totient is φ = 3827650464.

The previous prime is 13005314159. The next prime is 13005314171. The reversal of 13005314166 is 66141350031.

13005314166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3622876 + ... + 3626463.

It is an arithmetic number, because the mean of its divisors is an integer number (913416840).

Almost surely, 2^13005314166 is an apocalyptic number.

13005314166 is an abundant number, since it is smaller than the sum of its proper divisors (16224024714).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005314166 is a wasteful number, since it uses less digits than its factorization.

13005314166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249380.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 13005314166 its reverse (66141350031), we get a palindrome (79146664197).

The spelling of 13005314166 in words is "thirteen billion, five million, three hundred fourteen thousand, one hundred sixty-six".