133132020309 has 40 divisors (see below), whose sum is σ = 205898319000. Its totient is φ = 85625745408.

The previous prime is 133132020289. The next prime is 133132020337. The reversal of 133132020309 is 903020231331.

133132020309 is a `hidden beast` number, since 1 + 3 + 31 + 320 + 2 + 0 + 309 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50099868900 + 83032151409 = 223830^2 + 288153^2 .

It is not a de Polignac number, because 133132020309 - 2²⁹ = 132595149397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133132020349) 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 39 ways as a sum of consecutive naturals, for example, 3005877 + ... + 3049845.

It is an arithmetic number, because the mean of its divisors is an integer number (5147457975).

Almost surely, 2^133132020309 is an apocalyptic number.

It is an amenable number.

133132020309 is a deficient number, since it is larger than the sum of its proper divisors (72766298691).

133132020309 is a wasteful number, since it uses less digits than its factorization.

133132020309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45299 (or 45290 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 133132020309 in words is "one hundred thirty-three billion, one hundred thirty-two million, twenty thousand, three hundred nine".