133505331 has 8 divisors (see below), whose sum is σ = 178452624. Its totient is φ = 88780800.

The previous prime is 133505303. The next prime is 133505353.

133505331 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 133505331 - 2¹⁰ = 133504307 is a prime.

It is a super-2 number, since 2×133505331² = 35647346810839122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133505231) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54286 + ... + 56691.

It is an arithmetic number, because the mean of its divisors is an integer number (22306578).

Almost surely, 2^133505331 is an apocalyptic number.

133505331 is a deficient number, since it is larger than the sum of its proper divisors (44947293).

133505331 is a wasteful number, since it uses less digits than its factorization.

133505331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111381.

The product of its (nonzero) digits is 2025, while the sum is 24.

The square root of 133505331 is about 11554.4507009204. The cubic root of 133505331 is about 511.0925329294.

It can be divided in two parts, 13350 and 5331, that added together give a palindrome (18681).

The spelling of 133505331 in words is "one hundred thirty-three million, five hundred five thousand, three hundred thirty-one".