111010100011133 has 2 divisors, whose sum is σ = 111010100011134. Its totient is φ = 111010100011132.

The previous prime is 111010100011103. The next prime is 111010100011141. The reversal of 111010100011133 is 331110001010111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72078028454884 + 38932071556249 = 8489878^2 + 6239557^2 .

It is a cyclic number.

It is not a de Polignac number, because 111010100011133 - 2¹⁴ = 111010099994749 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111010100011103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55505050005566 + 55505050005567.

It is an arithmetic number, because the mean of its divisors is an integer number (55505050005567).

Almost surely, 2^{111010100011133} is an apocalyptic number.

It is an amenable number.

111010100011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111010100011133 is an equidigital number, since it uses as much as digits as its factorization.

111010100011133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 111010100011133 its reverse (331110001010111), we get a palindrome (442120101021244).

The spelling of 111010100011133 in words is "one hundred eleven trillion, ten billion, one hundred million, eleven thousand, one hundred thirty-three".