2003112003311 has 12 divisors (see below), whose sum is σ = 2052489187440. Its totient is φ = 1954896753600.

The previous prime is 2003112003301. The next prime is 2003112003323. The reversal of 2003112003311 is 1133002113002.

It is not a de Polignac number, because 2003112003311 - 2¹⁸ = 2003111741167 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2003112003311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003112003301) 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, 1769630 + ... + 2671668.

It is an arithmetic number, because the mean of its divisors is an integer number (171040765620).

Almost surely, 2^{2003112003311} is an apocalyptic number.

2003112003311 is a deficient number, since it is larger than the sum of its proper divisors (49377184129).

2003112003311 is an equidigital number, since it uses as much as digits as its factorization.

2003112003311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903326 (or 903283 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2003112003311 its reverse (1133002113002), we get a palindrome (3136114116313).

The spelling of 2003112003311 in words is "two trillion, three billion, one hundred twelve million, three thousand, three hundred eleven".