1003332312320 has 144 divisors (see below), whose sum is σ = 2591284106880. Its totient is φ = 370014461952.

The previous prime is 1003332312271. The next prime is 1003332312383. The reversal of 1003332312320 is 232132333001.

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, 13925027 + ... + 13996893.

It is an arithmetic number, because the mean of its divisors is an integer number (17995028520).

Almost surely, 2^{1003332312320} is an apocalyptic number.

1003332312320 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 1003332312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295642053440).

1003332312320 is an abundant number, since it is smaller than the sum of its proper divisors (1587951794560).

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

1003332312320 is an equidigital number, since it uses as much as digits as its factorization.

1003332312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72740 (or 72726 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 1003332312320 its reverse (232132333001), we get a palindrome (1235464645321).

The spelling of 1003332312320 in words is "one trillion, three billion, three hundred thirty-two million, three hundred twelve thousand, three hundred twenty".