1000133 has 2 divisors, whose sum is σ = 1000134. Its totient is φ = 1000132.

The previous prime is 1000121. The next prime is 1000151. The reversal of 1000133 is 3310001.

1000133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 917764 + 82369 = 958^2 + 287^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000133 - 2⁴ = 1000117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1000133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500066 + 500067.

It is an arithmetic number, because the mean of its divisors is an integer number (500067).

2^1000133 is an apocalyptic number.

It is an amenable number.

1000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000133 is an equidigital number, since it uses as much as digits as its factorization.

1000133 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 8.

The square root of 1000133 is about 1000.0664977890. The cubic root of 1000133 is about 100.0044331368.

Adding to 1000133 its reverse (3310001), we get a palindrome (4310134).

It can be divided in two parts, 10001 and 33, that multiplied together give a palindrome (330033).

The spelling of 1000133 in words is "one million, one hundred thirty-three", and thus it is an aban number.