1013321333440 has 448 divisors, whose sum is σ = 2886812006400. Its totient is φ = 335183118336.

The previous prime is 1013321333407. The next prime is 1013321333449. The reversal of 1013321333440 is 443331233101.

It is a junction number, because it is equal to n+sod(n) for n = 1013321333399 and 1013321333408.

It is not an unprimeable number, because it can be changed into a prime (1013321333449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161791749 + ... + 161798011.

It is an arithmetic number, because the mean of its divisors is an integer number (6443776800).

Almost surely, 2^{1013321333440} is an apocalyptic number.

1013321333440 is a gapful number since it is divisible by the number (10) 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 1013321333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443406003200).

1013321333440 is an abundant number, since it is smaller than the sum of its proper divisors (1873490672960).

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

1013321333440 is a wasteful number, since it uses less digits than its factorization.

1013321333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6424 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 1013321333440 its reverse (443331233101), we get a palindrome (1456652566541).

The spelling of 1013321333440 in words is "one trillion, thirteen billion, three hundred twenty-one million, three hundred thirty-three thousand, four hundred forty".