13013753 has 4 divisors (see below), whose sum is σ = 13021008. Its totient is φ = 13006500.

The previous prime is 13013747. The next prime is 13013761. The reversal of 13013753 is 35731031.

It is a happy number.

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, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 35731031 = 7 ⋅5104433.

It is a cyclic number.

It is not a de Polignac number, because 13013753 - 2¹⁶ = 12948217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13013713) 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 in 3 ways as a sum of consecutive naturals, for example, 1250 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (3255252).

Almost surely, 2^13013753 is an apocalyptic number.

It is an amenable number.

13013753 is a deficient number, since it is larger than the sum of its proper divisors (7255).

13013753 is an equidigital number, since it uses as much as digits as its factorization.

13013753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7254.

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 13013753 is about 3607.4579692631. The cubic root of 13013753 is about 235.2163572567.

Adding to 13013753 its reverse (35731031), we get a palindrome (48744784).

The spelling of 13013753 in words is "thirteen million, thirteen thousand, seven hundred fifty-three".