1101121101133 has 2 divisors, whose sum is σ = 1101121101134. Its totient is φ = 1101121101132.

The previous prime is 1101121101121. The next prime is 1101121101203. The reversal of 1101121101133 is 3311011211011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 838400272164 + 262720828969 = 915642^2 + 512563^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1101121101133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1101121101733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550560550566 + 550560550567.

It is an arithmetic number, because the mean of its divisors is an integer number (550560550567).

Almost surely, 2^{1101121101133} is an apocalyptic number.

It is an amenable number.

1101121101133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101121101133 is an equidigital number, since it uses as much as digits as its factorization.

1101121101133 is an evil number, because the sum of its binary digits is even.

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

Adding to 1101121101133 its reverse (3311011211011), we get a palindrome (4412132312144).

It can be divided in two parts, 11011211011 and 33, that multiplied together give a palindrome (363369963363).

The spelling of 1101121101133 in words is "one trillion, one hundred one billion, one hundred twenty-one million, one hundred one thousand, one hundred thirty-three".