10011000100133 has 2 divisors, whose sum is σ = 10011000100134. Its totient is φ = 10011000100132.

The previous prime is 10011000100097. The next prime is 10011000100139. The reversal of 10011000100133 is 33100100011001.

It is a happy number.

10011000100133 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., 7121329890724 + 2889670209409 = 2668582^2 + 1699903^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011000100133 - 2²² = 10010995905829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011000100139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500050066 + 5005500050067.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500050067).

Almost surely, 2^{10011000100133} is an apocalyptic number.

It is an amenable number.

10011000100133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011000100133 is an equidigital number, since it uses as much as digits as its factorization.

10011000100133 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 10011000100133 its reverse (33100100011001), we get a palindrome (43111100111134).

The spelling of 10011000100133 in words is "ten trillion, eleven billion, one hundred thousand, one hundred thirty-three".