211121333112113 has 2 divisors, whose sum is σ = 211121333112114. Its totient is φ = 211121333112112.

The previous prime is 211121333112103. The next prime is 211121333112181. The reversal of 211121333112113 is 311211333121112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133277627535649 + 77843705576464 = 11544593^2 + 8822908^2 .

It is a cyclic number.

It is not a de Polignac number, because 211121333112113 - 2¹⁶ = 211121333046577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (211121333112103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105560666556056 + 105560666556057.

It is an arithmetic number, because the mean of its divisors is an integer number (105560666556057).

Almost surely, 2^{211121333112113} is an apocalyptic number.

It is an amenable number.

211121333112113 is a deficient number, since it is larger than the sum of its proper divisors (1).

211121333112113 is an equidigital number, since it uses as much as digits as its factorization.

211121333112113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 26.

Adding to 211121333112113 its reverse (311211333121112), we get a palindrome (522332666233225).

The spelling of 211121333112113 in words is "two hundred eleven trillion, one hundred twenty-one billion, three hundred thirty-three million, one hundred twelve thousand, one hundred thirteen".