133020002133 has 12 divisors (see below), whose sum is σ = 195765286860. Its totient is φ = 87006793536.

The previous prime is 133020002131. The next prime is 133020002249. The reversal of 133020002133 is 331200020331.

133020002133 is a `hidden beast` number, since 1 + 330 + 200 + 0 + 2 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 69559842564 + 63460159569 = 263742^2 + 251913^2 .

It is not a de Polignac number, because 133020002133 - 2¹ = 133020002131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133020002131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139433488 + ... + 139434441.

It is an arithmetic number, because the mean of its divisors is an integer number (16313773905).

Almost surely, 2^133020002133 is an apocalyptic number.

It is an amenable number.

133020002133 is a deficient number, since it is larger than the sum of its proper divisors (62745284727).

133020002133 is a wasteful number, since it uses less digits than its factorization.

133020002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278867988 (or 278867985 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133020002133 its reverse (331200020331), we get a palindrome (464220022464).

The spelling of 133020002133 in words is "one hundred thirty-three billion, twenty million, two thousand, one hundred thirty-three".