131331033 has 6 divisors (see below), whose sum is σ = 189700394. Its totient is φ = 87554016.

The previous prime is 131331029. The next prime is 131331061. The reversal of 131331033 is 330133131.

It can be written as a sum of positive squares in only one way, i.e., 124612569 + 6718464 = 11163^2 + 2592^2 .

It is not a de Polignac number, because 131331033 - 2² = 131331029 is a prime.

It is a super-3 number, since 3×131331033³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131330997 and 131331015.

It is not an unprimeable number, because it can be changed into a prime (131331023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7296160 + ... + 7296177.

Almost surely, 2^131331033 is an apocalyptic number.

It is an amenable number.

131331033 is a deficient number, since it is larger than the sum of its proper divisors (58369361).

131331033 is a wasteful number, since it uses less digits than its factorization.

131331033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14592343 (or 14592340 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131331033 is about 11459.9752617534. The cubic root of 131331033 is about 508.3027431083.

Adding to 131331033 its reverse (330133131), we get a palindrome (461464164).

The spelling of 131331033 in words is "one hundred thirty-one million, three hundred thirty-one thousand, thirty-three".