331138033 has 2 divisors, whose sum is σ = 331138034. Its totient is φ = 331138032.

The previous prime is 331137997. The next prime is 331138039. The reversal of 331138033 is 330831133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215854864 + 115283169 = 14692^2 + 10737^2 .

It is an emirp because it is prime and its reverse (330831133) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331138033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331137989 and 331138007.

It is not a weakly prime, because it can be changed into another prime (331138039) 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, 165569016 + 165569017.

It is an arithmetic number, because the mean of its divisors is an integer number (165569017).

Almost surely, 2^331138033 is an apocalyptic number.

It is an amenable number.

331138033 is a deficient number, since it is larger than the sum of its proper divisors (1).

331138033 is an equidigital number, since it uses as much as digits as its factorization.

331138033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 331138033 is about 18197.1984931747. The cubic root of 331138033 is about 691.8357842876.

Adding to 331138033 its reverse (330831133), we get a palindrome (661969166).

The spelling of 331138033 in words is "three hundred thirty-one million, one hundred thirty-eight thousand, thirty-three".