13073921280 has 1296 divisors, whose sum is σ = 58887803520. Its totient is φ = 2656862208.

The previous prime is 13073921279. The next prime is 13073921291. The reversal of 13073921280 is 8212937031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246677734 + ... + 246677786.

It is an arithmetic number, because the mean of its divisors is an integer number (45438120).

Almost surely, 2^13073921280 is an apocalyptic number.

13073921280 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 13073921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29443901760).

13073921280 is an abundant number, since it is smaller than the sum of its proper divisors (45813882240).

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

13073921280 is a wasteful number, since it uses less digits than its factorization.

13073921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13073921280 in words is "thirteen billion, seventy-three million, nine hundred twenty-one thousand, two hundred eighty".