2013321010304 has 64 divisors (see below), whose sum is σ = 4094628105600. Its totient is φ = 985795077120.

The previous prime is 2013321010303. The next prime is 2013321010343. The reversal of 2013321010304 is 4030101233102.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2013321010304² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2013321010301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204457 + ... + 2340375.

It is an arithmetic number, because the mean of its divisors is an integer number (63978564150).

Almost surely, 2^{2013321010304} 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 2013321010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047314052800).

2013321010304 is an abundant number, since it is smaller than the sum of its proper divisors (2081307095296).

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

2013321010304 is a wasteful number, since it uses less digits than its factorization.

2013321010304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136221 (or 1136209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2013321010304 its reverse (4030101233102), we get a palindrome (6043422243406).

The spelling of 2013321010304 in words is "two trillion, thirteen billion, three hundred twenty-one million, ten thousand, three hundred four".