201120111113 has 2 divisors, whose sum is σ = 201120111114. Its totient is φ = 201120111112.

The previous prime is 201120111097. The next prime is 201120111131. The reversal of 201120111113 is 311111021102.

201120111113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (201120111131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 200639493184 + 480617929 = 447928^2 + 21923^2 .

It is a cyclic number.

It is not a de Polignac number, because 201120111113 - 2⁴ = 201120111097 is a prime.

It is not a weakly prime, because it can be changed into another prime (201120114113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100560055556 + 100560055557.

It is an arithmetic number, because the mean of its divisors is an integer number (100560055557).

Almost surely, 2^201120111113 is an apocalyptic number.

It is an amenable number.

201120111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

201120111113 is an equidigital number, since it uses as much as digits as its factorization.

201120111113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 201120111113 its reverse (311111021102), we get a palindrome (512231132215).

The spelling of 201120111113 in words is "two hundred one billion, one hundred twenty million, one hundred eleven thousand, one hundred thirteen".