13322129141760 has 416 divisors, whose sum is σ = 42877211457600. Its totient is φ = 3531671076864.

The previous prime is 13322129141707. The next prime is 13322129141777. The reversal of 13322129141760 is 6714192122331.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9296670004 + ... + 9296671436.

It is an arithmetic number, because the mean of its divisors is an integer number (103070219850).

Almost surely, 2^{13322129141760} is an apocalyptic number.

13322129141760 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 13322129141760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21438605728800).

13322129141760 is an abundant number, since it is smaller than the sum of its proper divisors (29555082315840).

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

13322129141760 is a wasteful number, since it uses less digits than its factorization.

13322129141760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 13322129141760 in words is "thirteen trillion, three hundred twenty-two billion, one hundred twenty-nine million, one hundred forty-one thousand, seven hundred sixty".