1100133313109 has 2 divisors, whose sum is σ = 1100133313110. Its totient is φ = 1100133313108.

The previous prime is 1100133313073. The next prime is 1100133313133. The reversal of 1100133313109 is 9013133310011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 763613822500 + 336519490609 = 873850^2 + 580103^2 .

It is a cyclic number.

It is not a de Polignac number, because 1100133313109 - 2²⁴ = 1100116535893 is a prime.

It is a super-2 number, since 2×1100133313109² (a number of 25 digits) contains 22 as substring.

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 (1100133313309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550066656554 + 550066656555.

It is an arithmetic number, because the mean of its divisors is an integer number (550066656555).

Almost surely, 2^{1100133313109} is an apocalyptic number.

It is an amenable number.

1100133313109 is a deficient number, since it is larger than the sum of its proper divisors (1).

1100133313109 is an equidigital number, since it uses as much as digits as its factorization.

1100133313109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 26.

The spelling of 1100133313109 in words is "one trillion, one hundred billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred nine".