133332122133 has 18 divisors (see below), whose sum is σ = 224034246774. Its totient is φ = 76189783824.

The previous prime is 133332122117. The next prime is 133332122159. The reversal of 133332122133 is 331221233331.

133332122133 is a `hidden beast` number, since 1 + 333 + 321 + 2 + 2 + 1 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83049441489 + 50282680644 = 288183^2 + 224238^2 .

It is not a de Polignac number, because 133332122133 - 2⁴ = 133332122117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133332122097 and 133332122106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133332122113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151169766 + ... + 151170647.

It is an arithmetic number, because the mean of its divisors is an integer number (12446347043).

Almost surely, 2^133332122133 is an apocalyptic number.

It is an amenable number.

133332122133 is a deficient number, since it is larger than the sum of its proper divisors (90702124641).

133332122133 is a wasteful number, since it uses less digits than its factorization.

133332122133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302340433 (or 302340423 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133332122133 its reverse (331221233331), we get a palindrome (464553355464).

The spelling of 133332122133 in words is "one hundred thirty-three billion, three hundred thirty-two million, one hundred twenty-two thousand, one hundred thirty-three".