13038131 has 2 divisors, whose sum is σ = 13038132. Its totient is φ = 13038130.

The previous prime is 13038121. The next prime is 13038149. The reversal of 13038131 is 13183031.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (13183031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13038131 - 2²² = 8843827 is a prime.

It is a super-2 number, since 2×13038131² = 339985719946322, which contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (13038101) 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, 6519065 + 6519066.

It is an arithmetic number, because the mean of its divisors is an integer number (6519066).

Almost surely, 2^13038131 is an apocalyptic number.

13038131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13038131 is an equidigital number, since it uses as much as digits as its factorization.

13038131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 13038131 is about 3610.8352219397. The cubic root of 13038131 is about 235.3631385787.

The spelling of 13038131 in words is "thirteen million, thirty-eight thousand, one hundred thirty-one".