100646561133 has 18 divisors (see below), whose sum is σ = 154433077994. Its totient is φ = 63150781824.

The previous prime is 100646561123. The next prime is 100646561177. The reversal of 100646561133 is 331165646001.

100646561133 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 4 + 6 + 5 + 611 + 33 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 32839963524 + 67806597609 = 181218^2 + 260397^2 .

It is not a de Polignac number, because 100646561133 - 2⁹ = 100646560621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100646561123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19345066 + ... + 19350267.

Almost surely, 2^100646561133 is an apocalyptic number.

It is an amenable number.

100646561133 is a deficient number, since it is larger than the sum of its proper divisors (53786516861).

100646561133 is a wasteful number, since it uses less digits than its factorization.

100646561133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38695373 (or 38695353 counting only the distinct ones).

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

The spelling of 100646561133 in words is "one hundred billion, six hundred forty-six million, five hundred sixty-one thousand, one hundred thirty-three".