10001010010133 has 2 divisors, whose sum is σ = 10001010010134. Its totient is φ = 10001010010132.

The previous prime is 10001010010111. The next prime is 10001010010139. The reversal of 10001010010133 is 33101001010001.

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., 9755234015569 + 245775994564 = 3123337^2 + 495758^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010010133 - 2³⁸ = 9726132103189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010010139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505005066 + 5000505005067.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505005067).

Almost surely, 2^{10001010010133} is an apocalyptic number.

It is an amenable number.

10001010010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010010133 is an equidigital number, since it uses as much as digits as its factorization.

10001010010133 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 10001010010133 its reverse (33101001010001), we get a palindrome (43102011020134).

The spelling of 10001010010133 in words is "ten trillion, one billion, ten million, ten thousand, one hundred thirty-three".