13713583013 has 8 divisors (see below), whose sum is σ = 15545762400. Its totient is φ = 11992444848.

The previous prime is 13713583007. The next prime is 13713583099. The reversal of 13713583013 is 31038531731.

13713583013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13713583013 - 2¹⁰ = 13713581989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13713585013) 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 7 ways as a sum of consecutive naturals, for example, 27760043 + ... + 27760536.

It is an arithmetic number, because the mean of its divisors is an integer number (1943220300).

Almost surely, 2^13713583013 is an apocalyptic number.

13713583013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13713583013 is a deficient number, since it is larger than the sum of its proper divisors (1832179387).

13713583013 is a wasteful number, since it uses less digits than its factorization.

13713583013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55520611.

The product of its (nonzero) digits is 22680, while the sum is 35.

The spelling of 13713583013 in words is "thirteen billion, seven hundred thirteen million, five hundred eighty-three thousand, thirteen".