13330420320 has 192 divisors, whose sum is σ = 48037764096. Its totient is φ = 3043891200.

The previous prime is 13330420319. The next prime is 13330420333. The reversal of 13330420320 is 2302403331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6386317 + ... + 6388403.

It is an arithmetic number, because the mean of its divisors is an integer number (250196688).

Almost surely, 2^13330420320 is an apocalyptic number.

13330420320 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 13330420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24018882048).

13330420320 is an abundant number, since it is smaller than the sum of its proper divisors (34707343776).

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

13330420320 is a wasteful number, since it uses less digits than its factorization.

13330420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4013 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 13330420320 its reverse (2302403331), we get a palindrome (15632823651).

The spelling of 13330420320 in words is "thirteen billion, three hundred thirty million, four hundred twenty thousand, three hundred twenty".