133431 has 8 divisors (see below), whose sum is σ = 180480. Its totient is φ = 87672.

The previous prime is 133417. The next prime is 133439. The reversal of 133431 is 134331.

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

It is not a de Polignac number, because 133431 - 2⁷ = 133303 is a prime.

It is a super-4 number, since 4×133431⁴ (a number of 22 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 133431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133439) 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, 45 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (22560).

2¹³³⁴³¹ is an apocalyptic number.

133431 is a deficient number, since it is larger than the sum of its proper divisors (47049).

133431 is an equidigital number, since it uses as much as digits as its factorization.

133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645.

The product of its digits is 108, while the sum is 15.

The square root of 133431 is about 365.2820827799. The cubic root of 133431 is about 51.0997662631.

Adding to 133431 its reverse (134331), we get a palindrome (267762).

Subtracting 133431 from its reverse (134331), we obtain a square (900 = 30²).

The spelling of 133431 in words is "one hundred thirty-three thousand, four hundred thirty-one".