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10331 is a prime number

10331 has 2 divisors, whose sum is σ = 10332. Its totient is φ = 10330.

The previous prime is 10321. The next prime is 10333. The reversal of 10331 is 13301.

10331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10331 - 26 = 10267 is a prime.

It is a super-2 number, since 2×103312 = 213459122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 10333, it forms a pair of twin primes.

It is a Chen prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10331.

It is not a weakly prime, because it can be changed into another prime (10333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165 + 5166.

It is an arithmetic number, because the mean of its divisors is an integer number (5166).

210331 is an apocalyptic number.

10331 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331 is an equidigital number, since it uses as much as digits as its factorization.

10331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10331 is about 101.6415269464. The cubic root of 10331 is about 21.7794773613.

Adding to 10331 its reverse (13301), we get a palindrome (23632).

The spelling of 10331 in words is "ten thousand, three hundred thirty-one".