133585331 has 12 divisors (see below), whose sum is σ = 148006656. Its totient is φ = 120471120.

The previous prime is 133585307. The next prime is 133585369.

133585331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133585331 - 2⁶ = 133585267 is a prime.

It is a super-2 number, since 2×133585331² = 35690081316759122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133575331) 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, 11021 + ... + 19713.

It is an arithmetic number, because the mean of its divisors is an integer number (12333888).

Almost surely, 2^133585331 is an apocalyptic number.

133585331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133585331 is a deficient number, since it is larger than the sum of its proper divisors (14421325).

133585331 is a wasteful number, since it uses less digits than its factorization.

133585331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8842 (or 8831 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 133585331 is about 11557.9120519236. The cubic root of 133585331 is about 511.1945993615.

The spelling of 133585331 in words is "one hundred thirty-three million, five hundred eighty-five thousand, three hundred thirty-one".