20130045321344 has 192 divisors, whose sum is σ = 47362884946560. Its totient is φ = 8495457417216.

The previous prime is 20130045321341. The next prime is 20130045321403. The reversal of 20130045321344 is 44312354003102.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20130045321344.

It is not an unprimeable number, because it can be changed into a prime (20130045321341) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1566168422 + ... + 1566181274.

It is an arithmetic number, because the mean of its divisors is an integer number (246681692430).

Almost surely, 2^{20130045321344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20130045321344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23681442473280).

20130045321344 is an abundant number, since it is smaller than the sum of its proper divisors (27232839625216).

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

20130045321344 is a wasteful number, since it uses less digits than its factorization.

20130045321344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16675 (or 16656 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 20130045321344 its reverse (44312354003102), we get a palindrome (64442399324446).

The spelling of 20130045321344 in words is "twenty trillion, one hundred thirty billion, forty-five million, three hundred twenty-one thousand, three hundred forty-four".