13001366609280 has 2560 divisors, whose sum is σ = 58691837952000. Its totient is φ = 2675740262400.

The previous prime is 13001366609239. The next prime is 13001366609281. The reversal of 13001366609280 is 8290666310031.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001366609281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 12610442365 + ... + 12610443395.

It is an arithmetic number, because the mean of its divisors is an integer number (22926499200).

Almost surely, 2^{13001366609280} is an apocalyptic number.

13001366609280 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 13001366609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29345918976000).

13001366609280 is an abundant number, since it is smaller than the sum of its proper divisors (45690471342720).

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

13001366609280 is a wasteful number, since it uses less digits than its factorization.

13001366609280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13001366609280 in words is "thirteen trillion, one billion, three hundred sixty-six million, six hundred nine thousand, two hundred eighty".