133040331 has 12 divisors (see below), whose sum is σ = 194073360. Its totient is φ = 87814800.

The previous prime is 133040321. The next prime is 133040357.

133040331 is a `hidden beast` number, since 1 + 330 + 4 + 0 + 331 = 666.

133040331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133040331 - 2¹³ = 133032139 is a prime.

It is a super-3 number, since 3×133040331³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (133040321) 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, 72271 + ... + 74088.

It is an arithmetic number, because the mean of its divisors is an integer number (16172780).

Almost surely, 2^133040331 is an apocalyptic number.

133040331 is a deficient number, since it is larger than the sum of its proper divisors (61033029).

133040331 is a wasteful number, since it uses less digits than its factorization.

133040331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146466 (or 146463 counting only the distinct ones).

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

The square root of 133040331 is about 11534.3110327405. The cubic root of 133040331 is about 510.4984630579.

The spelling of 133040331 in words is "one hundred thirty-three million, forty thousand, three hundred thirty-one".