133105661217 has 48 divisors (see below), whose sum is σ = 199453063680. Its totient is φ = 85448563200.

The previous prime is 133105661207. The next prime is 133105661231. The reversal of 133105661217 is 712166501331.

133105661217 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 5 + 6 + 612 + 1 + 7 = 666.

It is not a de Polignac number, because 133105661217 - 2⁴ = 133105661201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133105661207) 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 47 ways as a sum of consecutive naturals, for example, 62519209 + ... + 62521337.

It is an arithmetic number, because the mean of its divisors is an integer number (4155272160).

Almost surely, 2^133105661217 is an apocalyptic number.

It is an amenable number.

133105661217 is a deficient number, since it is larger than the sum of its proper divisors (66347402463).

133105661217 is a wasteful number, since it uses less digits than its factorization.

133105661217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3171 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 133105661217 in words is "one hundred thirty-three billion, one hundred five million, six hundred sixty-one thousand, two hundred seventeen".