2003313000120 has 128 divisors (see below), whose sum is σ = 6035030496000. Its totient is φ = 531990789120.

The previous prime is 2003313000119. The next prime is 2003313000131. The reversal of 2003313000120 is 210003133002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2003313000120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29937900 + ... + 30004740.

It is an arithmetic number, because the mean of its divisors is an integer number (47148675750).

Almost surely, 2^{2003313000120} is an apocalyptic number.

2003313000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003313000120 is an abundant number, since it is smaller than the sum of its proper divisors (4031717495880).

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

2003313000120 is a wasteful number, since it uses less digits than its factorization.

2003313000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67893 (or 67889 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2003313000120 its reverse (210003133002), we get a palindrome (2213316133122).

The spelling of 2003313000120 in words is "two trillion, three billion, three hundred thirteen million, one hundred twenty", and thus it is an aban number.