2121314000213 has 8 divisors (see below), whose sum is σ = 2142583038936. Its totient is φ = 2100050176000.

The previous prime is 2121314000153. The next prime is 2121314000227. The reversal of 2121314000213 is 3120004131212.

It can be written as a sum of positive squares in 4 ways, for example, as 1469520968644 + 651793031569 = 1212238^2 + 807337^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2121314000213 - 2⁸ = 2121313999957 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121314000243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 483356 + ... + 2115717.

It is an arithmetic number, because the mean of its divisors is an integer number (267822879867).

Almost surely, 2^{2121314000213} is an apocalyptic number.

It is an amenable number.

2121314000213 is a deficient number, since it is larger than the sum of its proper divisors (21269038723).

2121314000213 is a wasteful number, since it uses less digits than its factorization.

2121314000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607255.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2121314000213 its reverse (3120004131212), we get a palindrome (5241318131425).

The spelling of 2121314000213 in words is "two trillion, one hundred twenty-one billion, three hundred fourteen million, two hundred thirteen", and thus it is an aban number.