13000331 has 2 divisors, whose sum is σ = 13000332. Its totient is φ = 13000330.

The previous prime is 13000327. The next prime is 13000333. The reversal of 13000331 is 13300031.

13000331 is digitally balanced in base 3, 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 13000331 - 2² = 13000327 is a prime.

It is a super-2 number, since 2×13000331² = 338017212219122, which contains 22 as substring.

Together with 13000333, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (13000333) 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, 6500165 + 6500166.

It is an arithmetic number, because the mean of its divisors is an integer number (6500166).

Almost surely, 2^13000331 is an apocalyptic number.

13000331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000331 is an equidigital number, since it uses as much as digits as its factorization.

13000331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 13000331 is about 3605.5971766131. The cubic root of 13000331 is about 235.1354643751.

Adding to 13000331 its reverse (13300031), we get a palindrome (26300362).

It can be divided in two parts, 13000 and 331, that added together give a palindrome (13331).

The spelling of 13000331 in words is "thirteen million, three hundred thirty-one", and thus it is an aban number.