13202320272 has 80 divisors (see below), whose sum is σ = 35036358720. Its totient is φ = 4281532416.

The previous prime is 13202320223. The next prime is 13202320273. The reversal of 13202320272 is 27202320231.

13202320272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13202320273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 518004 + ... + 542892.

It is an arithmetic number, because the mean of its divisors is an integer number (437954484).

Almost surely, 2^13202320272 is an apocalyptic number.

13202320272 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 13202320272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518179360).

13202320272 is an abundant number, since it is smaller than the sum of its proper divisors (21834038448).

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

13202320272 is a wasteful number, since it uses less digits than its factorization.

13202320272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25200 (or 25194 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The spelling of 13202320272 in words is "thirteen billion, two hundred two million, three hundred twenty thousand, two hundred seventy-two".