13000513 has 4 divisors (see below), whose sum is σ = 13025988. Its totient is φ = 12975040.

The previous prime is 13000511. The next prime is 13000553. The reversal of 13000513 is 31500031.

13000513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6589489 + 6411024 = 2567^2 + 2532^2 .

It is a cyclic number.

It is not a de Polignac number, because 13000513 - 2¹ = 13000511 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13000493 and 13000502.

It is not an unprimeable number, because it can be changed into a prime (13000511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11956 + ... + 12997.

It is an arithmetic number, because the mean of its divisors is an integer number (3256497).

Almost surely, 2^13000513 is an apocalyptic number.

It is an amenable number.

13000513 is a deficient number, since it is larger than the sum of its proper divisors (25475).

13000513 is an equidigital number, since it uses as much as digits as its factorization.

13000513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25474.

The product of its (nonzero) digits is 45, while the sum is 13.

The square root of 13000513 is about 3605.6224150623. The cubic root of 13000513 is about 235.1365616409.

Adding to 13000513 its reverse (31500031), we get a palindrome (44500544).

The spelling of 13000513 in words is "thirteen million, five hundred thirteen", and thus it is an aban number.