2121313000113 has 12 divisors (see below), whose sum is σ = 3092229960820. Its totient is φ = 1401234274656.

The previous prime is 2121313000039. The next prime is 2121313000117. The reversal of 2121313000113 is 3110003131212.

It can be written as a sum of positive squares in 2 ways, for example, as 1830373585569 + 290939414544 = 1352913^2 + 539388^2 .

It is not a de Polignac number, because 2121313000113 - 2¹⁴ = 2121312983729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121313000117) 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, 1081198306 + ... + 1081200267.

Almost surely, 2^{2121313000113} is an apocalyptic number.

It is an amenable number.

2121313000113 is a deficient number, since it is larger than the sum of its proper divisors (970916960707).

2121313000113 is a wasteful number, since it uses less digits than its factorization.

2121313000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162398688 (or 2162398685 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 2121313000113 its reverse (3110003131212), we get a palindrome (5231316131325).

The spelling of 2121313000113 in words is "two trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred thirteen", and thus it is an aban number.