13004513 has 2 divisors, whose sum is σ = 13004514. Its totient is φ = 13004512.

The previous prime is 13004491. The next prime is 13004521. The reversal of 13004513 is 31540031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12909649 + 94864 = 3593^2 + 308^2 .

It is an emirp because it is prime and its reverse (31540031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13004513 - 2⁶ = 13004449 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 13004491 and 13004500.

It is not a weakly prime, because it can be changed into another prime (13004543) 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, 6502256 + 6502257.

It is an arithmetic number, because the mean of its divisors is an integer number (6502257).

Almost surely, 2^13004513 is an apocalyptic number.

It is an amenable number.

13004513 is a deficient number, since it is larger than the sum of its proper divisors (1).

13004513 is an equidigital number, since it uses as much as digits as its factorization.

13004513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 13004513 is about 3606.1770616541. The cubic root of 13004513 is about 235.1606747868.

Adding to 13004513 its reverse (31540031), we get a palindrome (44544544).

The spelling of 13004513 in words is "thirteen million, four thousand, five hundred thirteen".