2003120210213 has 16 divisors (see below), whose sum is σ = 2157533627760. Its totient is φ = 1855942771200.

The previous prime is 2003120210209. The next prime is 2003120210279. The reversal of 2003120210213 is 3120120213002.

It can be written as a sum of positive squares in 8 ways, for example, as 757347246049 + 1245772964164 = 870257^2 + 1116142^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003120210213 - 2² = 2003120210209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2003120210191 and 2003120210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2003120210293) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13736570 + ... + 13881627.

It is an arithmetic number, because the mean of its divisors is an integer number (134845851735).

Almost surely, 2^{2003120210213} is an apocalyptic number.

It is an amenable number.

2003120210213 is a deficient number, since it is larger than the sum of its proper divisors (154413417547).

2003120210213 is a wasteful number, since it uses less digits than its factorization.

2003120210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27618328.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 2003120210213 its reverse (3120120213002), we get a palindrome (5123240423215).

The spelling of 2003120210213 in words is "two trillion, three billion, one hundred twenty million, two hundred ten thousand, two hundred thirteen".