2013332321220 has 192 divisors, whose sum is σ = 6377354919936. Its totient is φ = 470278033920.

The previous prime is 2013332321207. The next prime is 2013332321233. The reversal of 2013332321220 is 221232333102.

It is an interprime number because it is at equal distance from previous prime (2013332321207) and next prime (2013332321233).

It is a super-2 number, since 2×2013332321220² (a number of 25 digits) contains 22 as substring.

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, 2115037 + ... + 2915483.

It is an arithmetic number, because the mean of its divisors is an integer number (33215390208).

Almost surely, 2^{2013332321220} is an apocalyptic number.

2013332321220 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 2013332321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188677459968).

2013332321220 is an abundant number, since it is smaller than the sum of its proper divisors (4364022598716).

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

2013332321220 is a wasteful number, since it uses less digits than its factorization.

2013332321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800610 (or 800608 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2013332321220 its reverse (221232333102), we get a palindrome (2234564654322).

It can be divided in two parts, 2013 and 332321220, that added together give a palindrome (332323233).

The spelling of 2013332321220 in words is "two trillion, thirteen billion, three hundred thirty-two million, three hundred twenty-one thousand, two hundred twenty".