131042033 has 2 divisors, whose sum is σ = 131042034. Its totient is φ = 131042032.

The previous prime is 131042011. The next prime is 131042071. The reversal of 131042033 is 330240131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96373489 + 34668544 = 9817^2 + 5888^2 .

It is a cyclic number.

It is not a de Polignac number, because 131042033 - 2¹² = 131037937 is a prime.

It is not a weakly prime, because it can be changed into another prime (131042003) 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 as a sum of consecutive naturals, namely, 65521016 + 65521017.

It is an arithmetic number, because the mean of its divisors is an integer number (65521017).

Almost surely, 2^131042033 is an apocalyptic number.

It is an amenable number.

131042033 is a deficient number, since it is larger than the sum of its proper divisors (1).

131042033 is an equidigital number, since it uses as much as digits as its factorization.

131042033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 131042033 is about 11447.3592151203. The cubic root of 131042033 is about 507.9296214011.

Adding to 131042033 its reverse (330240131), we get a palindrome (461282164).

The spelling of 131042033 in words is "one hundred thirty-one million, forty-two thousand, thirty-three".