2121013200213 has 12 divisors (see below), whose sum is σ = 3064003965568. Its totient is φ = 1413861923880.

The previous prime is 2121013200209. The next prime is 2121013200217. The reversal of 2121013200213 is 3120023101212.

It is an interprime number because it is at equal distance from previous prime (2121013200209) and next prime (2121013200217).

It is not a de Polignac number, because 2121013200213 - 2² = 2121013200209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121013200217) 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, 12148195 + ... + 12321552.

Almost surely, 2^{2121013200213} is an apocalyptic number.

It is an amenable number.

2121013200213 is a deficient number, since it is larger than the sum of its proper divisors (942990765355).

2121013200213 is a wasteful number, since it uses less digits than its factorization.

2121013200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24479384 (or 24479381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2121013200213 its reverse (3120023101212), we get a palindrome (5241036301425).

Subtracting 2121013200213 from its reverse (3120023101212), we obtain a palindrome (999009900999).

The spelling of 2121013200213 in words is "two trillion, one hundred twenty-one billion, thirteen million, two hundred thousand, two hundred thirteen".