2013321001440 has 384 divisors, whose sum is σ = 7485514767360. Its totient is φ = 445243834368.

The previous prime is 2013321001429. The next prime is 2013321001493. The reversal of 2013321001440 is 441001233102.

It is a super-2 number, since 2×2013321001440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22208044 + ... + 22298516.

It is an arithmetic number, because the mean of its divisors is an integer number (19493528040).

Almost surely, 2^{2013321001440} is an apocalyptic number.

2013321001440 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 2013321001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3742757383680).

2013321001440 is an abundant number, since it is smaller than the sum of its proper divisors (5472193765920).

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

2013321001440 is a wasteful number, since it uses less digits than its factorization.

2013321001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90714 (or 90706 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2013321001440 its reverse (441001233102), we get a palindrome (2454322234542).

The spelling of 2013321001440 in words is "two trillion, thirteen billion, three hundred twenty-one million, one thousand, four hundred forty".