13066101 has 12 divisors (see below), whose sum is σ = 19012812. Its totient is φ = 8646336.

The previous prime is 13066099. The next prime is 13066147. The reversal of 13066101 is 10166031.

13066101 is a `hidden beast` number, since 1 + 3 + 0 + 661 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3294225 + 9771876 = 1815^2 + 3126^2 .

It is not a de Polignac number, because 13066101 - 2¹ = 13066099 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13066901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4066 + ... + 6531.

It is an arithmetic number, because the mean of its divisors is an integer number (1584401).

Almost surely, 2^13066101 is an apocalyptic number.

It is an amenable number.

13066101 is a deficient number, since it is larger than the sum of its proper divisors (5946711).

13066101 is a wasteful number, since it uses less digits than its factorization.

13066101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10737 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13066101 is about 3614.7062121284. The cubic root of 13066101 is about 235.5313223244.

The spelling of 13066101 in words is "thirteen million, sixty-six thousand, one hundred one".