13142022320000 has 320 divisors, whose sum is σ = 37406910831840. Its totient is φ = 4503797760000.

The previous prime is 13142022319991. The next prime is 13142022320017. The reversal of 13142022320000 is 2322024131.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1756716260 + ... + 1756723740.

Almost surely, 2^{13142022320000} is an apocalyptic number.

13142022320000 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 13142022320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18703455415920).

13142022320000 is an abundant number, since it is smaller than the sum of its proper divisors (24264888511840).

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

13142022320000 is an frugal number, since it uses more digits than its factorization.

13142022320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10659 (or 10632 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13142022320000 its reverse (2322024131), we get a palindrome (13144344344131).

The spelling of 13142022320000 in words is "thirteen trillion, one hundred forty-two billion, twenty-two million, three hundred twenty thousand".