2013221000310 has 128 divisors (see below), whose sum is σ = 5217620728320. Its totient is φ = 494209729536.

The previous prime is 2013221000293. The next prime is 2013221000321. The reversal of 2013221000310 is 130001223102.

It is a super-3 number, since 3×2013221000310³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013221000310.

It is a congruent number.

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, 263403349 + ... + 263410991.

It is an arithmetic number, because the mean of its divisors is an integer number (40762661940).

Almost surely, 2^{2013221000310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013221000310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608810364160).

2013221000310 is an abundant number, since it is smaller than the sum of its proper divisors (3204399728010).

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

2013221000310 is a wasteful number, since it uses less digits than its factorization.

2013221000310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2013221000310 its reverse (130001223102), we get a palindrome (2143222223412).

The spelling of 2013221000310 in words is "two trillion, thirteen billion, two hundred twenty-one million, three hundred ten", and thus it is an aban number.