2003131122213 has 24 divisors (see below), whose sum is σ = 2909412692928. Its totient is φ = 1225314609792.

The previous prime is 2003131122193. The next prime is 2003131122253. The reversal of 2003131122213 is 3122211313002.

It is not a de Polignac number, because 2003131122213 - 2¹² = 2003131118117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2003131122213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003131122253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11744520 + ... + 11913857.

It is an arithmetic number, because the mean of its divisors is an integer number (121225528872).

Almost surely, 2^{2003131122213} is an apocalyptic number.

It is an amenable number.

2003131122213 is a deficient number, since it is larger than the sum of its proper divisors (906281570715).

2003131122213 is a wasteful number, since it uses less digits than its factorization.

2003131122213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23658573 (or 23658560 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2003131122213 its reverse (3122211313002), we get a palindrome (5125342435215).

The spelling of 2003131122213 in words is "two trillion, three billion, one hundred thirty-one million, one hundred twenty-two thousand, two hundred thirteen".