20332113013120 has 128 divisors (see below), whose sum is σ = 50298262848000. Its totient is φ = 7849947291648.

The previous prime is 20332113013111. The next prime is 20332113013129. The reversal of 20332113013120 is 2131031123302.

It is an interprime number because it is at equal distance from previous prime (20332113013111) and next prime (20332113013129).

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 = 20332113013091 and 20332113013100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20332113013129) by changing a digit.

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, 59760609 + ... + 60099871.

It is an arithmetic number, because the mean of its divisors is an integer number (392955178500).

Almost surely, 2^{20332113013120} is an apocalyptic number.

20332113013120 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 20332113013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25149131424000).

20332113013120 is an abundant number, since it is smaller than the sum of its proper divisors (29966149834880).

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

20332113013120 is a wasteful number, since it uses less digits than its factorization.

20332113013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342540 (or 342528 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 20332113013120 its reverse (2131031123302), we get a palindrome (22463144136422).

The spelling of 20332113013120 in words is "twenty trillion, three hundred thirty-two billion, one hundred thirteen million, thirteen thousand, one hundred twenty".