13142021330000 has 100 divisors (see below), whose sum is σ = 31823713152000. Its totient is φ = 5255889072000.

The previous prime is 13142021329981. The next prime is 13142021330023. The reversal of 13142021330000 is 3312024131.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58558001 + ... + 58781999.

It is an arithmetic number, because the mean of its divisors is an integer number (318237131520).

Almost surely, 2^{13142021330000} is an apocalyptic number.

13142021330000 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 13142021330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911856576000).

13142021330000 is an abundant number, since it is smaller than the sum of its proper divisors (18681691822000).

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

13142021330000 is an equidigital number, since it uses as much as digits as its factorization.

13142021330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229894 (or 229873 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13142021330000 its reverse (3312024131), we get a palindrome (13145333354131).

The spelling of 13142021330000 in words is "thirteen trillion, one hundred forty-two billion, twenty-one million, three hundred thirty thousand".