13137788052813 has 32 divisors (see below), whose sum is σ = 18001207590912. Its totient is φ = 8518857723200.

The previous prime is 13137788052791. The next prime is 13137788052833. The reversal of 13137788052813 is 31825088773131.

13137788052813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13137788052813 - 2¹⁰ = 13137788051789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13137788052833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27040318 + ... + 27521888.

It is an arithmetic number, because the mean of its divisors is an integer number (562537737216).

Almost surely, 2^{13137788052813} is an apocalyptic number.

It is an amenable number.

13137788052813 is a deficient number, since it is larger than the sum of its proper divisors (4863419538099).

13137788052813 is a wasteful number, since it uses less digits than its factorization.

13137788052813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482825.

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 13137788052813 in words is "thirteen trillion, one hundred thirty-seven billion, seven hundred eighty-eight million, fifty-two thousand, eight hundred thirteen".