2121320312309 has 24 divisors (see below), whose sum is σ = 2399215961016. Its totient is φ = 1873352624000.

The previous prime is 2121320312299. The next prime is 2121320312341. The reversal of 2121320312309 is 9032130231212.

It can be written as a sum of positive squares in 4 ways, for example, as 1685575100209 + 435745212100 = 1298297^2 + 660110^2 .

It is not a de Polignac number, because 2121320312309 - 2³⁶ = 2052600835573 is a prime.

It is a super-2 number, since 2×2121320312309² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121320312389) 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, 989834 + ... + 2285259.

It is an arithmetic number, because the mean of its divisors is an integer number (99967331709).

Almost surely, 2^{2121320312309} is an apocalyptic number.

It is an amenable number.

2121320312309 is a deficient number, since it is larger than the sum of its proper divisors (277895648707).

2121320312309 is a wasteful number, since it uses less digits than its factorization.

2121320312309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275269 (or 3275258 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 2121320312309 in words is "two trillion, one hundred twenty-one billion, three hundred twenty million, three hundred twelve thousand, three hundred nine".