2013202320320 has 112 divisors (see below), whose sum is σ = 4888466341920. Its totient is φ = 789427531776.

The previous prime is 2013202320301. The next prime is 2013202320329. The reversal of 2013202320320 is 230232023102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2013202320292 and 2013202320301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013202320329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20523551 + ... + 20621409.

It is an arithmetic number, because the mean of its divisors is an integer number (43647020910).

Almost surely, 2^{2013202320320} is an apocalyptic number.

2013202320320 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 2013202320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444233170960).

2013202320320 is an abundant number, since it is smaller than the sum of its proper divisors (2875264021600).

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

2013202320320 is a wasteful number, since it uses less digits than its factorization.

2013202320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99142 (or 99132 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2013202320320 its reverse (230232023102), we get a palindrome (2243434343422).

The spelling of 2013202320320 in words is "two trillion, thirteen billion, two hundred two million, three hundred twenty thousand, three hundred twenty".