101001133 has 2 divisors, whose sum is σ = 101001134. Its totient is φ = 101001132.

The previous prime is 101001091. The next prime is 101001143. The reversal of 101001133 is 331100101.

It is an a-pointer prime, because the next prime (101001143) can be obtained adding 101001133 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86155524 + 14845609 = 9282^2 + 3853^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101001133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101001143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500566 + 50500567.

It is an arithmetic number, because the mean of its divisors is an integer number (50500567).

Almost surely, 2^101001133 is an apocalyptic number.

It is an amenable number.

101001133 is a deficient number, since it is larger than the sum of its proper divisors (1).

101001133 is an equidigital number, since it uses as much as digits as its factorization.

101001133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 101001133 is about 10049.9319898196. The cubic root of 101001133 is about 465.7026921573.

Adding to 101001133 its reverse (331100101), we get a palindrome (432101234).

The spelling of 101001133 in words is "one hundred one million, one thousand, one hundred thirty-three".