1011121011133 has 2 divisors, whose sum is σ = 1011121011134. Its totient is φ = 1011121011132.

The previous prime is 1011121011101. The next prime is 1011121011143. The reversal of 1011121011133 is 3311101211101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 932744529369 + 78376481764 = 965787^2 + 279958^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011121011133 - 2⁵ = 1011121011101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011121011143) 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, 505560505566 + 505560505567.

It is an arithmetic number, because the mean of its divisors is an integer number (505560505567).

Almost surely, 2^{1011121011133} is an apocalyptic number.

It is an amenable number.

1011121011133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011121011133 is an equidigital number, since it uses as much as digits as its factorization.

1011121011133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 1011121011133 its reverse (3311101211101), we get a palindrome (4322222222234).

The spelling of 1011121011133 in words is "one trillion, eleven billion, one hundred twenty-one million, eleven thousand, one hundred thirty-three".