20130320220000 has 480 divisors, whose sum is σ = 68498889338880. Its totient is φ = 5170813440000.

The previous prime is 20130320219951. The next prime is 20130320220007. The reversal of 20130320220000 is 2202303102.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20130320220007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 194288209 + ... + 194391791.

It is an arithmetic number, because the mean of its divisors is an integer number (142706019456).

Almost surely, 2^{20130320220000} is an apocalyptic number.

20130320220000 is a gapful number since it is divisible by the number (20) 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 20130320220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34249444669440).

20130320220000 is an abundant number, since it is smaller than the sum of its proper divisors (48368569118880).

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

20130320220000 is a wasteful number, since it uses less digits than its factorization.

20130320220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103736 (or 103713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20130320220000 its reverse (2202303102), we get a palindrome (20132522523102).

The spelling of 20130320220000 in words is "twenty trillion, one hundred thirty billion, three hundred twenty million, two hundred twenty thousand".