133523113005 has 24 divisors (see below), whose sum is σ = 245054185272. Its totient is φ = 67023366144.

The previous prime is 133523112979. The next prime is 133523113021. The reversal of 133523113005 is 500311325331.

133523113005 is a `hidden beast` number, since 1 + 3 + 3 + 523 + 1 + 130 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15965333316 + 117557779689 = 126354^2 + 342867^2 .

It is not a de Polignac number, because 133523113005 - 2⁹ = 133523112493 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 133523113005.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 87269244 + ... + 87270773.

It is an arithmetic number, because the mean of its divisors is an integer number (10210591053).

Almost surely, 2^133523113005 is an apocalyptic number.

133523113005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133523113005 is a deficient number, since it is larger than the sum of its proper divisors (111531072267).

133523113005 is a wasteful number, since it uses less digits than its factorization.

133523113005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174540045 (or 174540042 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 133523113005 its reverse (500311325331), we get a palindrome (633834438336).

The spelling of 133523113005 in words is "one hundred thirty-three billion, five hundred twenty-three million, one hundred thirteen thousand, five".