13000831 has 2 divisors, whose sum is σ = 13000832. Its totient is φ = 13000830.

The previous prime is 13000829. The next prime is 13000849. The reversal of 13000831 is 13800031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13000831 - 2¹ = 13000829 is a prime.

It is a super-2 number, since 2×13000831² = 338043213381122, which contains 22 as substring.

Together with 13000829, it forms a pair of twin primes.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13000861) 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, 6500415 + 6500416.

It is an arithmetic number, because the mean of its divisors is an integer number (6500416).

Almost surely, 2^13000831 is an apocalyptic number.

13000831 is a deficient number, since it is larger than the sum of its proper divisors (1).

13000831 is an equidigital number, since it uses as much as digits as its factorization.

13000831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 13000831 is about 3605.6665125882. Note that the first 3 decimals coincide. The cubic root of 13000831 is about 235.1384788169.

Adding to 13000831 its reverse (13800031), we get a palindrome (26800862).

It can be divided in two parts, 13000 and 831, that added together give a palindrome (13831).

The spelling of 13000831 in words is "thirteen million, eight hundred thirty-one", and thus it is an aban number.