13134344013 has 36 divisors (see below), whose sum is σ = 22097553660. Its totient is φ = 7495721856.

The previous prime is 13134343991. The next prime is 13134344017. The reversal of 13134344013 is 31044343131.

13134344013 is a `hidden beast` number, since 1 + 313 + 4 + 344 + 0 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8510616009 + 4623728004 = 92253^2 + 67998^2 .

It is not a de Polignac number, because 13134344013 - 2⁶ = 13134343949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13134344017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 332793 + ... + 370161.

It is an arithmetic number, because the mean of its divisors is an integer number (613820935).

Almost surely, 2^13134344013 is an apocalyptic number.

It is an amenable number.

13134344013 is a deficient number, since it is larger than the sum of its proper divisors (8963209647).

13134344013 is a wasteful number, since it uses less digits than its factorization.

13134344013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38186 (or 38176 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13134344013 its reverse (31044343131), we get a palindrome (44178687144).

The spelling of 13134344013 in words is "thirteen billion, one hundred thirty-four million, three hundred forty-four thousand, thirteen".