13002124927827 has 48 divisors (see below), whose sum is σ = 20315531037312. Its totient is φ = 7374911483520.

The previous prime is 13002124927807. The next prime is 13002124927871. The reversal of 13002124927827 is 72872942120031.

13002124927827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13002124927827 - 2¹⁸ = 13002124665683 is a prime.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13002124927807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 324036588 + ... + 324076710.

It is an arithmetic number, because the mean of its divisors is an integer number (423240229944).

Almost surely, 2^{13002124927827} is an apocalyptic number.

13002124927827 is a deficient number, since it is larger than the sum of its proper divisors (7313406109485).

13002124927827 is a wasteful number, since it uses less digits than its factorization.

13002124927827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56368 (or 56361 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 13002124927827 in words is "thirteen trillion, two billion, one hundred twenty-four million, nine hundred twenty-seven thousand, eight hundred twenty-seven".