111100101111133 has 2 divisors, whose sum is σ = 111100101111134. Its totient is φ = 111100101111132.

The previous prime is 111100101111061. The next prime is 111100101111143. The reversal of 111100101111133 is 331111101001111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106234207772004 + 4865893339129 = 10306998^2 + 2205877^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100101111133 - 2³⁷ = 110962662157661 is a prime.

It is a super-3 number, since 3×111100101111133³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111100101111143) 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, 55550050555566 + 55550050555567.

It is an arithmetic number, because the mean of its divisors is an integer number (55550050555567).

Almost surely, 2^{111100101111133} is an apocalyptic number.

It is an amenable number.

111100101111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100101111133 is an equidigital number, since it uses as much as digits as its factorization.

111100101111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 16.

Adding to 111100101111133 its reverse (331111101001111), we get a palindrome (442211202112244).

The spelling of 111100101111133 in words is "one hundred eleven trillion, one hundred billion, one hundred one million, one hundred eleven thousand, one hundred thirty-three".