133216101 has 12 divisors (see below), whose sum is σ = 192640812. Its totient is φ = 88710336.

The previous prime is 133216091. The next prime is 133216123. The reversal of 133216101 is 101612331.

133216101 is a `hidden beast` number, since 1 + 33 + 21 + 610 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45887076 + 87329025 = 6774^2 + 9345^2 .

It is not a de Polignac number, because 133216101 - 2¹³ = 133207909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133216141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 535 + ... + 16331.

It is an arithmetic number, because the mean of its divisors is an integer number (16053401).

Almost surely, 2^133216101 is an apocalyptic number.

It is an amenable number.

133216101 is a deficient number, since it is larger than the sum of its proper divisors (59424711).

133216101 is a wasteful number, since it uses less digits than its factorization.

133216101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16740 (or 16737 counting only the distinct ones).

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

The square root of 133216101 is about 11541.9279585345. The cubic root of 133216101 is about 510.7231839541.

Adding to 133216101 its reverse (101612331), we get a palindrome (234828432).

The spelling of 133216101 in words is "one hundred thirty-three million, two hundred sixteen thousand, one hundred one".