13129818582720 has 336 divisors, whose sum is σ = 48783651114240. Its totient is φ = 2983128938496.

The previous prime is 13129818582701. The next prime is 13129818582743. The reversal of 13129818582720 is 2728581892131.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7019991 + ... + 8691369.

It is an arithmetic number, because the mean of its divisors is an integer number (145189437840).

Almost surely, 2^{13129818582720} is an apocalyptic number.

13129818582720 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 13129818582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24391825557120).

13129818582720 is an abundant number, since it is smaller than the sum of its proper divisors (35653832531520).

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

13129818582720 is a wasteful number, since it uses less digits than its factorization.

13129818582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671580 (or 1671563 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 13129818582720 in words is "thirteen trillion, one hundred twenty-nine billion, eight hundred eighteen million, five hundred eighty-two thousand, seven hundred twenty".