331320137 has 2 divisors, whose sum is σ = 331320138. Its totient is φ = 331320136.

The previous prime is 331320131. The next prime is 331320149. The reversal of 331320137 is 731023133.

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., 324684361 + 6635776 = 18019^2 + 2576^2 .

It is an emirp because it is prime and its reverse (731023133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331320137 - 2¹⁶ = 331254601 is a prime.

It is not a weakly prime, because it can be changed into another prime (331320131) 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, 165660068 + 165660069.

It is an arithmetic number, because the mean of its divisors is an integer number (165660069).

Almost surely, 2^331320137 is an apocalyptic number.

It is an amenable number.

331320137 is a deficient number, since it is larger than the sum of its proper divisors (1).

331320137 is an equidigital number, since it uses as much as digits as its factorization.

331320137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 23.

The square root of 331320137 is about 18202.2014327938. The cubic root of 331320137 is about 691.9625823431.

The spelling of 331320137 in words is "three hundred thirty-one million, three hundred twenty thousand, one hundred thirty-seven".