2013223330020 has 192 divisors, whose sum is σ = 6473039892480. Its totient is φ = 457974563328.

The previous prime is 2013223330003. The next prime is 2013223330081. The reversal of 2013223330020 is 200333223102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105510841 + ... + 105529919.

It is an arithmetic number, because the mean of its divisors is an integer number (33713749440).

Almost surely, 2^{2013223330020} is an apocalyptic number.

2013223330020 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 2013223330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236519946240).

2013223330020 is an abundant number, since it is smaller than the sum of its proper divisors (4459816562460).

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

2013223330020 is a wasteful number, since it uses less digits than its factorization.

2013223330020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20282 (or 20280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2013223330020 its reverse (200333223102), we get a palindrome (2213556553122).

The spelling of 2013223330020 in words is "two trillion, thirteen billion, two hundred twenty-three million, three hundred thirty thousand, twenty".