13138713 has 24 divisors (see below), whose sum is σ = 22644960. Its totient is φ = 7507080.

The previous prime is 13138703. The next prime is 13138721. The reversal of 13138713 is 31783131.

13138713 is digitally balanced in base 2, base 3, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13138713 - 2⁸ = 13138457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

13138713 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (13138703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3643 + ... + 6288.

It is an arithmetic number, because the mean of its divisors is an integer number (943540).

Almost surely, 2^13138713 is an apocalyptic number.

It is an amenable number.

13138713 is a deficient number, since it is larger than the sum of its proper divisors (9506247).

13138713 is an equidigital number, since it uses as much as digits as its factorization.

13138713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9941 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13138713 is about 3624.7362662682. The cubic root of 13138713 is about 235.9668211999.

The spelling of 13138713 in words is "thirteen million, one hundred thirty-eight thousand, seven hundred thirteen".