2003313120330 has 64 divisors (see below), whose sum is σ = 4977516614400. Its totient is φ = 515404216320.

The previous prime is 2003313120313. The next prime is 2003313120349. The reversal of 2003313120330 is 330213133002.

It is a junction number, because it is equal to n+sod(n) for n = 2003313120297 and 2003313120306.

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 31 ways as a sum of consecutive naturals, for example, 274650 + ... + 2020410.

It is an arithmetic number, because the mean of its divisors is an integer number (77773697100).

Almost surely, 2^{2003313120330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2003313120330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488758307200).

2003313120330 is an abundant number, since it is smaller than the sum of its proper divisors (2974203494070).

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

2003313120330 is a wasteful number, since it uses less digits than its factorization.

2003313120330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747119.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2003313120330 its reverse (330213133002), we get a palindrome (2333526253332).

The spelling of 2003313120330 in words is "two trillion, three billion, three hundred thirteen million, one hundred twenty thousand, three hundred thirty".