2121132110113 has 2 divisors, whose sum is σ = 2121132110114. Its totient is φ = 2121132110112.

The previous prime is 2121132110093. The next prime is 2121132110179. The reversal of 2121132110113 is 3110112311212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2050257424384 + 70874685729 = 1431872^2 + 266223^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121132110113 - 2⁵ = 2121132110081 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121132180113) 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 as a sum of consecutive naturals, namely, 1060566055056 + 1060566055057.

It is an arithmetic number, because the mean of its divisors is an integer number (1060566055057).

Almost surely, 2^{2121132110113} is an apocalyptic number.

It is an amenable number.

2121132110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121132110113 is an equidigital number, since it uses as much as digits as its factorization.

2121132110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 2121132110113 its reverse (3110112311212), we get a palindrome (5231244421325).

The spelling of 2121132110113 in words is "two trillion, one hundred twenty-one billion, one hundred thirty-two million, one hundred ten thousand, one hundred thirteen".