11010002112133 has 2 divisors, whose sum is σ = 11010002112134. Its totient is φ = 11010002112132.

The previous prime is 11010002112077. The next prime is 11010002112143. The reversal of 11010002112133 is 33121120001011.

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., 5927944259169 + 5082057852964 = 2434737^2 + 2254342^2 .

It is a cyclic number.

It is not a de Polignac number, because 11010002112133 - 2⁹ = 11010002111621 is a prime.

It is a super-2 number, since 2×11010002112133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11010002112143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505001056066 + 5505001056067.

It is an arithmetic number, because the mean of its divisors is an integer number (5505001056067).

Almost surely, 2^{11010002112133} is an apocalyptic number.

It is an amenable number.

11010002112133 is a deficient number, since it is larger than the sum of its proper divisors (1).

11010002112133 is an equidigital number, since it uses as much as digits as its factorization.

11010002112133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11010002112133 its reverse (33121120001011), we get a palindrome (44131122113144).

The spelling of 11010002112133 in words is "eleven trillion, ten billion, two million, one hundred twelve thousand, one hundred thirty-three".