133464331 has 96 divisors (see below), whose sum is σ = 205922304. Its totient is φ = 83635200.

The previous prime is 133464319. The next prime is 133464343.

133464331 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (133464319) and next prime (133464343).

It is not a de Polignac number, because 133464331 - 2⁵ = 133464299 is a prime.

It is a super-2 number, since 2×133464331² = 35625455298555122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133464331.

It is not an unprimeable number, because it can be changed into a prime (133464301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4305286 + ... + 4305316.

It is an arithmetic number, because the mean of its divisors is an integer number (2145024).

Almost surely, 2^133464331 is an apocalyptic number.

133464331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133464331 is a deficient number, since it is larger than the sum of its proper divisors (72457973).

133464331 is a wasteful number, since it uses less digits than its factorization.

133464331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its digits is 7776, while the sum is 28.

The square root of 133464331 is about 11552.6763565851. The cubic root of 133464331 is about 511.0402080792.

It can be divided in two parts, 133 and 464331, that added together give a palindrome (464464).

The spelling of 133464331 in words is "one hundred thirty-three million, four hundred sixty-four thousand, three hundred thirty-one".