1000110001133 has 2 divisors, whose sum is σ = 1000110001134. Its totient is φ = 1000110001132.

The previous prime is 1000110001091. The next prime is 1000110001159. The reversal of 1000110001133 is 3311000110001.

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., 532087090249 + 468022910884 = 729443^2 + 684122^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000110001133 - 2²² = 1000105806829 is a prime.

It is a super-2 number, since 2×1000110001133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000110007133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055000566 + 500055000567.

It is an arithmetic number, because the mean of its divisors is an integer number (500055000567).

Almost surely, 2^{1000110001133} is an apocalyptic number.

It is an amenable number.

1000110001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110001133 is an equidigital number, since it uses as much as digits as its factorization.

1000110001133 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 11.

Adding to 1000110001133 its reverse (3311000110001), we get a palindrome (4311110111134).

The spelling of 1000110001133 in words is "one trillion, one hundred ten million, one thousand, one hundred thirty-three".