1000100001133 has 2 divisors, whose sum is σ = 1000100001134. Its totient is φ = 1000100001132.

The previous prime is 1000100001041. The next prime is 1000100001149. The reversal of 1000100001133 is 3311000010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 529486164964 + 470613836169 = 727658^2 + 686013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000100001133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100061133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050000566 + 500050000567.

It is an arithmetic number, because the mean of its divisors is an integer number (500050000567).

Almost surely, 2^{1000100001133} is an apocalyptic number.

It is an amenable number.

1000100001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100001133 is an equidigital number, since it uses as much as digits as its factorization.

1000100001133 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 10.

Adding to 1000100001133 its reverse (3311000010001), we get a palindrome (4311100011134).

The spelling of 1000100001133 in words is "one trillion, one hundred million, one thousand, one hundred thirty-three".