9713127788133 has 288 divisors, whose sum is σ = 18053968343040. Its totient is φ = 4610390400000.

The previous prime is 9713127788131. The next prime is 9713127788137. The reversal of 9713127788133 is 3318877213179.

It is not a de Polignac number, because 9713127788133 - 2¹ = 9713127788131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713127788131) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3467734333 + ... + 3467737133.

It is an arithmetic number, because the mean of its divisors is an integer number (62687390080).

Almost surely, 2^{9713127788133} is an apocalyptic number.

9713127788133 is a gapful number since it is divisible by the number (93) formed by its first and last digit.

It is an amenable number.

9713127788133 is a deficient number, since it is larger than the sum of its proper divisors (8340840554907).

9713127788133 is a wasteful number, since it uses less digits than its factorization.

9713127788133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221 (or 3203 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The spelling of 9713127788133 in words is "nine trillion, seven hundred thirteen billion, one hundred twenty-seven million, seven hundred eighty-eight thousand, one hundred thirty-three".