20130033032320 has 128 divisors (see below), whose sum is σ = 49786298654400. Its totient is φ = 7773809111040.

The previous prime is 20130033032299. The next prime is 20130033032341. The reversal of 20130033032320 is 2323033003102.

It is an interprime number because it is at equal distance from previous prime (20130033032299) and next prime (20130033032341).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 20130033032291 and 20130033032300.

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 15 ways as a sum of consecutive naturals, for example, 348657855 + ... + 348715585.

Almost surely, 2^{20130033032320} is an apocalyptic number.

20130033032320 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 20130033032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24893149327200).

20130033032320 is an abundant number, since it is smaller than the sum of its proper divisors (29656265622080).

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

20130033032320 is a wasteful number, since it uses less digits than its factorization.

20130033032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76566 (or 76554 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

Adding to 20130033032320 its reverse (2323033003102), we get a palindrome (22453066035422).

The spelling of 20130033032320 in words is "twenty trillion, one hundred thirty billion, thirty-three million, thirty-two thousand, three hundred twenty".