1001010001133 has 2 divisors, whose sum is σ = 1001010001134. Its totient is φ = 1001010001132.

The previous prime is 1001010001111. The next prime is 1001010001139. The reversal of 1001010001133 is 3311000101001.

It is a happy number.

1001010001133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 904300196809 + 96709804324 = 950947^2 + 310982^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001010001133 - 2⁸ = 1001010000877 is a prime.

It is a super-2 number, since 2×1001010001133² (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 (1001010001139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505000566 + 500505000567.

It is an arithmetic number, because the mean of its divisors is an integer number (500505000567).

Almost surely, 2^{1001010001133} is an apocalyptic number.

It is an amenable number.

1001010001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001010001133 is an equidigital number, since it uses as much as digits as its factorization.

1001010001133 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 1001010001133 its reverse (3311000101001), we get a palindrome (4312010102134).

The spelling of 1001010001133 in words is "one trillion, one billion, ten million, one thousand, one hundred thirty-three".