133630100610561 has 12 divisors (see below), whose sum is σ = 193502606209380. Its totient is φ = 88864572307200.

The previous prime is 133630100610529. The next prime is 133630100610581. The reversal of 133630100610561 is 165016001036331.

133630100610561 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 30 + 1 + 0 + 0 + 61 + 0 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121486269570561 + 12143831040000 = 11022081^2 + 3484800^2 .

It is not a de Polignac number, because 133630100610561 - 2⁵ = 133630100610529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133630100610581) 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 11 ways as a sum of consecutive naturals, for example, 18513448956 + ... + 18513456173.

It is an arithmetic number, because the mean of its divisors is an integer number (16125217184115).

Almost surely, 2^{133630100610561} is an apocalyptic number.

It is an amenable number.

133630100610561 is a deficient number, since it is larger than the sum of its proper divisors (59872505598819).

133630100610561 is a wasteful number, since it uses less digits than its factorization.

133630100610561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37026905536 (or 37026905533 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 133630100610561 its reverse (165016001036331), we get a palindrome (298646101646892).

The spelling of 133630100610561 in words is "one hundred thirty-three trillion, six hundred thirty billion, one hundred million, six hundred ten thousand, five hundred sixty-one".