133234432331 has 48 divisors (see below), whose sum is σ = 180398663424. Its totient is φ = 95822416800.

The previous prime is 133234432327. The next prime is 133234432411.

133234432331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 133234432331 - 2² = 133234432327 is a prime.

It is a super-2 number, since 2×133234432331² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133234432831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14651096 + ... + 14660186.

It is an arithmetic number, because the mean of its divisors is an integer number (3758305488).

Almost surely, 2^133234432331 is an apocalyptic number.

133234432331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133234432331 is a deficient number, since it is larger than the sum of its proper divisors (47164231093).

133234432331 is an frugal number, since it uses more digits than its factorization.

133234432331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9122 counting only the distinct ones).

The product of its digits is 46656, while the sum is 32.

It can be divided in two parts, 133234 and 432331, that added together give a palindrome (565565).

The spelling of 133234432331 in words is "one hundred thirty-three billion, two hundred thirty-four million, four hundred thirty-two thousand, three hundred thirty-one".