13731322420 has 48 divisors (see below), whose sum is σ = 30418839360. Its totient is φ = 5192239104.

The previous prime is 13731322393. The next prime is 13731322421. The reversal of 13731322420 is 2422313731.

13731322420 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 (13731322421) 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, 138772 + ... + 216148.

It is an arithmetic number, because the mean of its divisors is an integer number (633725820).

Almost surely, 2^13731322420 is an apocalyptic number.

13731322420 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 13731322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209419680).

13731322420 is an abundant number, since it is smaller than the sum of its proper divisors (16687516940).

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

13731322420 is a wasteful number, since it uses less digits than its factorization.

13731322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77872 (or 77870 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The spelling of 13731322420 in words is "thirteen billion, seven hundred thirty-one million, three hundred twenty-two thousand, four hundred twenty".