2121113112113 has 8 divisors (see below), whose sum is σ = 2133112199400. Its totient is φ = 2109117104640.

The previous prime is 2121113112017. The next prime is 2121113112119. The reversal of 2121113112113 is 3112113111212.

It can be written as a sum of positive squares in 4 ways, for example, as 221283686464 + 1899829425649 = 470408^2 + 1378343^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2121113112113 - 2¹⁸ = 2121112849969 is a prime.

It is a super-2 number, since 2×2121113112113² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2121113112119) 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, 618431 + ... + 2150507.

It is an arithmetic number, because the mean of its divisors is an integer number (266639024925).

Almost surely, 2^{2121113112113} is an apocalyptic number.

It is an amenable number.

2121113112113 is a deficient number, since it is larger than the sum of its proper divisors (11999087287).

2121113112113 is a wasteful number, since it uses less digits than its factorization.

2121113112113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539907.

The product of its digits is 72, while the sum is 20.

Adding to 2121113112113 its reverse (3112113111212), we get a palindrome (5233226223325).

Subtracting 2121113112113 from its reverse (3112113111212), we obtain a palindrome (990999999099).

The spelling of 2121113112113 in words is "two trillion, one hundred twenty-one billion, one hundred thirteen million, one hundred twelve thousand, one hundred thirteen".