13132301032272 has 160 divisors (see below), whose sum is σ = 36211882291200. Its totient is φ = 4086555992064.

The previous prime is 13132301032271. The next prime is 13132301032313. The reversal of 13132301032272 is 27223010323131.

13132301032272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132301032271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550170354 + ... + 550194222.

It is an arithmetic number, because the mean of its divisors is an integer number (226324264320).

Almost surely, 2^{13132301032272} is an apocalyptic number.

13132301032272 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 13132301032272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105941145600).

13132301032272 is an abundant number, since it is smaller than the sum of its proper divisors (23079581258928).

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

13132301032272 is a wasteful number, since it uses less digits than its factorization.

13132301032272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29333 (or 29327 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 13132301032272 in words is "thirteen trillion, one hundred thirty-two billion, three hundred one million, thirty-two thousand, two hundred seventy-two".