3002013003220 has 288 divisors, whose sum is σ = 8355136608000. Its totient is φ = 884428554240.

The previous prime is 3002013003173. The next prime is 3002013003233. The reversal of 3002013003220 is 223003102003.

It is a junction number, because it is equal to n+sod(n) for n = 3002013003194 and 3002013003203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144504754 + ... + 144525526.

It is an arithmetic number, because the mean of its divisors is an integer number (29010891000).

Almost surely, 2^{3002013003220} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3002013003220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177568304000).

3002013003220 is an abundant number, since it is smaller than the sum of its proper divisors (5353123604780).

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

3002013003220 is a wasteful number, since it uses less digits than its factorization.

3002013003220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21279 (or 21266 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 3002013003220 its reverse (223003102003), we get a palindrome (3225016105223).

The spelling of 3002013003220 in words is "three trillion, two billion, thirteen million, three thousand, two hundred twenty".