133064656101 has 18 divisors (see below), whose sum is σ = 208126772178. Its totient is φ = 81885941280.

The previous prime is 133064656063. The next prime is 133064656111. The reversal of 133064656101 is 101656460331.

133064656101 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 646 + 5 + 6 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1186733601 + 131877922500 = 34449^2 + 363150^2 .

It is not a de Polignac number, because 133064656101 - 2¹⁰ = 133064655077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133064656111) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43740970 + ... + 43744011.

Almost surely, 2^133064656101 is an apocalyptic number.

It is an amenable number.

133064656101 is a deficient number, since it is larger than the sum of its proper divisors (75062116077).

133064656101 is a wasteful number, since it uses less digits than its factorization.

133064656101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87485013 (or 87484997 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 133064656101 in words is "one hundred thirty-three billion, sixty-four million, six hundred fifty-six thousand, one hundred one".