13500013 has 4 divisors (see below), whose sum is σ = 14210560. Its totient is φ = 12789468.

The previous prime is 13500007. The next prime is 13500037. The reversal of 13500013 is 31000531.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 13500013 - 2⁹ = 13499501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13499966 and 13500002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13503013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 355245 + ... + 355282.

It is an arithmetic number, because the mean of its divisors is an integer number (3552640).

Almost surely, 2^13500013 is an apocalyptic number.

It is an amenable number.

13500013 is a deficient number, since it is larger than the sum of its proper divisors (710547).

13500013 is an equidigital number, since it uses as much as digits as its factorization.

13500013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710546.

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

The square root of 13500013 is about 3674.2363832503. The cubic root of 13500013 is about 238.1102342256.

Adding to 13500013 its reverse (31000531), we get a palindrome (44500544).

The spelling of 13500013 in words is "thirteen million, five hundred thousand, thirteen".