331121033 has 2 divisors, whose sum is σ = 331121034. Its totient is φ = 331121032.

The previous prime is 331121009. The next prime is 331121047. The reversal of 331121033 is 330121133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 294191104 + 36929929 = 17152^2 + 6077^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121033 - 2²⁶ = 264012169 is a prime.

It is a super-2 number, since 2×331121033² = 219282276989974178, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (331121003) 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 as a sum of consecutive naturals, namely, 165560516 + 165560517.

It is an arithmetic number, because the mean of its divisors is an integer number (165560517).

Almost surely, 2^331121033 is an apocalyptic number.

It is an amenable number.

331121033 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121033 is an equidigital number, since it uses as much as digits as its factorization.

331121033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 331121033 is about 18196.7313823115. The cubic root of 331121033 is about 691.8239449050.

Adding to 331121033 its reverse (330121133), we get a palindrome (661242166).

The spelling of 331121033 in words is "three hundred thirty-one million, one hundred twenty-one thousand, thirty-three".