2003131213313 has 4 divisors (see below), whose sum is σ = 2018903900160. Its totient is φ = 1987358526468.

The previous prime is 2003131213273. The next prime is 2003131213333. The reversal of 2003131213313 is 3133121313002.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2003131213313 - 2¹⁸ = 2003130951169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2003131213333) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 7886343233 + ... + 7886343486.

It is an arithmetic number, because the mean of its divisors is an integer number (504725975040).

Almost surely, 2^{2003131213313} is an apocalyptic number.

It is an amenable number.

2003131213313 is a deficient number, since it is larger than the sum of its proper divisors (15772686847).

2003131213313 is a wasteful number, since it uses less digits than its factorization.

2003131213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772686846.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 2003131213313 its reverse (3133121313002), we get a palindrome (5136252526315).

The spelling of 2003131213313 in words is "two trillion, three billion, one hundred thirty-one million, two hundred thirteen thousand, three hundred thirteen".