13006238146587 has 36 divisors (see below), whose sum is σ = 22804193964240. Its totient is φ = 7108999726752.

The previous prime is 13006238146549. The next prime is 13006238146597. The reversal of 13006238146587 is 78564183260031.

13006238146587 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 6 + 23 + 81 + 465 + 87 = 666.

It is not a de Polignac number, because 13006238146587 - 2¹⁹ = 13006237622299 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13006238146507) 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 35 ways as a sum of consecutive naturals, for example, 641133412 + ... + 641153697.

It is an arithmetic number, because the mean of its divisors is an integer number (633449832340).

Almost surely, 2^{13006238146587} is an apocalyptic number.

13006238146587 is a deficient number, since it is larger than the sum of its proper divisors (9797955817653).

13006238146587 is a wasteful number, since it uses less digits than its factorization.

13006238146587 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282287152 (or 1282287142 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 13006238146587 in words is "thirteen trillion, six billion, two hundred thirty-eight million, one hundred forty-six thousand, five hundred eighty-seven".