1003320120320 has 176 divisors, whose sum is σ = 2752406025600. Its totient is φ = 343772135424.

The previous prime is 1003320120307. The next prime is 1003320120347. The reversal of 1003320120320 is 230210233001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60883922 + ... + 60900398.

It is an arithmetic number, because the mean of its divisors is an integer number (15638670600).

Almost surely, 2^{1003320120320} is an apocalyptic number.

1003320120320 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 1003320120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376203012800).

1003320120320 is an abundant number, since it is smaller than the sum of its proper divisors (1749085905280).

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

1003320120320 is a wasteful number, since it uses less digits than its factorization.

1003320120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18208 (or 18190 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1003320120320 its reverse (230210233001), we get a palindrome (1233530353321).

The spelling of 1003320120320 in words is "one trillion, three billion, three hundred twenty million, one hundred twenty thousand, three hundred twenty".