13006831 has 2 divisors, whose sum is σ = 13006832. Its totient is φ = 13006830.

The previous prime is 13006817. The next prime is 13006837. The reversal of 13006831 is 13860031.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13006831 is a prime.

It is a super-2 number, since 2×13006831² = 338355305325122, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13006837) 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, 6503415 + 6503416.

It is an arithmetic number, because the mean of its divisors is an integer number (6503416).

Almost surely, 2^13006831 is an apocalyptic number.

13006831 is a deficient number, since it is larger than the sum of its proper divisors (1).

13006831 is an equidigital number, since it uses as much as digits as its factorization.

13006831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13006831 is about 3606.4984403158. The cubic root of 13006831 is about 235.1746460920.

Adding to 13006831 its reverse (13860031), we get a palindrome (26866862).

The spelling of 13006831 in words is "thirteen million, six thousand, eight hundred thirty-one".