13127193216 has 96 divisors (see below), whose sum is σ = 37884880800. Its totient is φ = 4362988032.

The previous prime is 13127193203. The next prime is 13127193241. The reversal of 13127193216 is 61239172131.

13127193216 is a `hidden beast` number, since 1 + 312 + 7 + 19 + 321 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383325 + ... + 416163.

It is an arithmetic number, because the mean of its divisors is an integer number (394634175).

Almost surely, 2^13127193216 is an apocalyptic number.

13127193216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13127193216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942440400).

13127193216 is an abundant number, since it is smaller than the sum of its proper divisors (24757687584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13127193216 is a wasteful number, since it uses less digits than its factorization.

13127193216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33206 (or 33191 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The spelling of 13127193216 in words is "thirteen billion, one hundred twenty-seven million, one hundred ninety-three thousand, two hundred sixteen".