2013323221000 has 256 divisors, whose sum is σ = 5916718080000. Its totient is φ = 637182201600.

The previous prime is 2013323220949. The next prime is 2013323221009. The reversal of 2013323221000 is 1223233102.

It is not an unprimeable number, because it can be changed into a prime (2013323221009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4233241 + ... + 4684759.

It is an arithmetic number, because the mean of its divisors is an integer number (23112180000).

Almost surely, 2^{2013323221000} is an apocalyptic number.

2013323221000 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 2013323221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958359040000).

2013323221000 is an abundant number, since it is smaller than the sum of its proper divisors (3903394859000).

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

2013323221000 is a wasteful number, since it uses less digits than its factorization.

2013323221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451574 (or 451546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2013323221000 its reverse (1223233102), we get a palindrome (2014546454102).

The spelling of 2013323221000 in words is "two trillion, thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand".