133100032003101 has 24 divisors (see below), whose sum is σ = 198895715854680. Its totient is φ = 85669013114496.

The previous prime is 133100032003091. The next prime is 133100032003121. The reversal of 133100032003101 is 101300230001331.

It is a happy number.

133100032003101 is a `hidden beast` number, since 1 + 3 + 31 + 0 + 0 + 0 + 320 + 0 + 310 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16548013805625 + 116552018197476 = 4067925^2 + 10795926^2 .

It is not a de Polignac number, because 133100032003101 - 2⁹ = 133100032002589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133100032003121) 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 23 ways as a sum of consecutive naturals, for example, 8698330 + ... + 18489483.

It is an arithmetic number, because the mean of its divisors is an integer number (8287321493945).

Almost surely, 2^{133100032003101} is an apocalyptic number.

It is an amenable number.

133100032003101 is a deficient number, since it is larger than the sum of its proper divisors (65795683851579).

133100032003101 is a wasteful number, since it uses less digits than its factorization.

133100032003101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27206605 (or 27206602 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133100032003101 its reverse (101300230001331), we get a palindrome (234400262004432).

The spelling of 133100032003101 in words is "one hundred thirty-three trillion, one hundred billion, thirty-two million, three thousand, one hundred one".