2003111313120 has 72 divisors (see below), whose sum is σ = 6835617360936. Its totient is φ = 534163016448.

The previous prime is 2003111313103. The next prime is 2003111313121. The reversal of 2003111313120 is 213131113002.

2003111313120 is a `hidden beast` number, since 20 + 0 + 311 + 1 + 313 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2003111313093 and 2003111313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003111313121) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 695523322 + ... + 695526201.

It is an arithmetic number, because the mean of its divisors is an integer number (94939130013).

Almost surely, 2^{2003111313120} is an apocalyptic number.

2003111313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2003111313120 is an abundant number, since it is smaller than the sum of its proper divisors (4832506047816).

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

2003111313120 is a wasteful number, since it uses less digits than its factorization.

2003111313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391049544 (or 1391049533 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2003111313120 its reverse (213131113002), we get a palindrome (2216242426122).

The spelling of 2003111313120 in words is "two trillion, three billion, one hundred eleven million, three hundred thirteen thousand, one hundred twenty".