13140013 has 2 divisors, whose sum is σ = 13140014. Its totient is φ = 13140012.

The previous prime is 13140011. The next prime is 13140047. The reversal of 13140013 is 31004131.

13140013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12981609 + 158404 = 3603^2 + 398^2 .

It is a cyclic number.

It is not a de Polignac number, because 13140013 - 2¹ = 13140011 is a prime.

Together with 13140011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13139975 and 13140002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13140011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6570006 + 6570007.

It is an arithmetic number, because the mean of its divisors is an integer number (6570007).

Almost surely, 2^13140013 is an apocalyptic number.

It is an amenable number.

13140013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13140013 is an equidigital number, since it uses as much as digits as its factorization.

13140013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13140013 is about 3624.9155852240. The cubic root of 13140013 is about 235.9746034627.

Adding to 13140013 its reverse (31004131), we get a palindrome (44144144).

The spelling of 13140013 in words is "thirteen million, one hundred forty thousand, thirteen".