13013424513 has 12 divisors (see below), whose sum is σ = 18901022868. Its totient is φ = 8627683680.

The previous prime is 13013424509. The next prime is 13013424521. The reversal of 13013424513 is 31542431031.

It is a happy number.

13013424513 is a `hidden beast` number, since 1 + 301 + 342 + 4 + 5 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5139169344 + 7874255169 = 71688^2 + 88737^2 .

It is not a de Polignac number, because 13013424513 - 2² = 13013424509 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13013424013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3992670 + ... + 3995927.

It is an arithmetic number, because the mean of its divisors is an integer number (1575085239).

Almost surely, 2^13013424513 is an apocalyptic number.

It is an amenable number.

13013424513 is a deficient number, since it is larger than the sum of its proper divisors (5887598355).

13013424513 is a wasteful number, since it uses less digits than its factorization.

13013424513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7988784 (or 7988781 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13013424513 its reverse (31542431031), we get a palindrome (44555855544).

The spelling of 13013424513 in words is "thirteen billion, thirteen million, four hundred twenty-four thousand, five hundred thirteen".