133033133331 has 24 divisors (see below), whose sum is σ = 219693932640. Its totient is φ = 75989966976.

The previous prime is 133033133309. The next prime is 133033133333. The reversal of 133033133331 is 133331330331.

133033133331 is a `hidden beast` number, since 13 + 3 + 0 + 3 + 313 + 3 + 331 = 666.

It is not a de Polignac number, because 133033133331 - 2⁷ = 133033133203 is a prime.

It is a super-2 number, since 2×133033133331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133033133295 and 133033133304.

It is not an unprimeable number, because it can be changed into a prime (133033133333) 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, 235116 + ... + 566873.

It is an arithmetic number, because the mean of its divisors is an integer number (9153913860).

Almost surely, 2^133033133331 is an apocalyptic number.

133033133331 is a deficient number, since it is larger than the sum of its proper divisors (86660799309).

133033133331 is a wasteful number, since it uses less digits than its factorization.

133033133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804635 (or 804632 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 133033133331 its reverse (133331330331), we get a palindrome (266364463662).

The spelling of 133033133331 in words is "one hundred thirty-three billion, thirty-three million, one hundred thirty-three thousand, three hundred thirty-one".