13013527 has 2 divisors, whose sum is σ = 13013528. Its totient is φ = 13013526.

The previous prime is 13013513. The next prime is 13013543. The reversal of 13013527 is 72531031.

It is a weak prime.

It is an emirp because it is prime and its reverse (72531031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13013527 is a prime.

It is equal to p₈₅₀₀₈₁ and since 13013527 and 850081 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013498 and 13013507.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13013027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506763 + 6506764.

It is an arithmetic number, because the mean of its divisors is an integer number (6506764).

Almost surely, 2^13013527 is an apocalyptic number.

13013527 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013527 is an equidigital number, since it uses as much as digits as its factorization.

13013527 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 13013527 is about 3607.4266451308. The cubic root of 13013527 is about 235.2149956406.

Adding to 13013527 its reverse (72531031), we get a palindrome (85544558).

The spelling of 13013527 in words is "thirteen million, thirteen thousand, five hundred twenty-seven".