13013513 has 2 divisors, whose sum is σ = 13013514. Its totient is φ = 13013512.

The previous prime is 13013509. The next prime is 13013527. The reversal of 13013513 is 31531031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6927424 + 6086089 = 2632^2 + 2467^2 .

It is a cyclic number.

It is not a de Polignac number, because 13013513 - 2² = 13013509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13013491 and 13013500.

It is not a weakly prime, because it can be changed into another prime (13013543) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6506756 + 6506757.

It is an arithmetic number, because the mean of its divisors is an integer number (6506757).

Almost surely, 2^13013513 is an apocalyptic number.

It is an amenable number.

13013513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13013513 is an equidigital number, since it uses as much as digits as its factorization.

13013513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 135, while the sum is 17.

The square root of 13013513 is about 3607.4247046889. The cubic root of 13013513 is about 235.2149112922.

Adding to 13013513 its reverse (31531031), we get a palindrome (44544544).

The spelling of 13013513 in words is "thirteen million, thirteen thousand, five hundred thirteen".