13272120065340 has 240 divisors, whose sum is σ = 44100970385472. Its totient is φ = 3329779083264.

The previous prime is 13272120065299. The next prime is 13272120065341. The reversal of 13272120065340 is 4356002127231.

13272120065340 is a `hidden beast` number, since 1 + 32 + 7 + 21 + 200 + 65 + 340 = 666.

It is a super-2 number, since 2×13272120065340² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13272120065295 and 13272120065304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13272120065341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73634569 + ... + 73814591.

Almost surely, 2^{13272120065340} is an apocalyptic number.

13272120065340 is a gapful number since it is divisible by the number (10) 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 13272120065340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22050485192736).

13272120065340 is an abundant number, since it is smaller than the sum of its proper divisors (30828850320132).

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

13272120065340 is a wasteful number, since it uses less digits than its factorization.

13272120065340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182738 (or 182727 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 13272120065340 in words is "thirteen trillion, two hundred seventy-two billion, one hundred twenty million, sixty-five thousand, three hundred forty".