13271187072 has 384 divisors, whose sum is σ = 42299873280. Its totient is φ = 3661701120.

The previous prime is 13271187067. The next prime is 13271187103. The reversal of 13271187072 is 27078117231.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×13271187072² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 13271187072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76711978 + ... + 76712150.

It is an arithmetic number, because the mean of its divisors is an integer number (110155920).

Almost surely, 2^13271187072 is an apocalyptic number.

13271187072 is a gapful number since it is divisible by the number (12) 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 13271187072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149936640).

13271187072 is an abundant number, since it is smaller than the sum of its proper divisors (29028686208).

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

13271187072 is a wasteful number, since it uses less digits than its factorization.

13271187072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 13271187072 in words is "thirteen billion, two hundred seventy-one million, one hundred eighty-seven thousand, seventy-two".