1003133 has 2 divisors, whose sum is σ = 1003134. Its totient is φ = 1003132.

The previous prime is 1003111. The next prime is 1003141. The reversal of 1003133 is 3313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 964324 + 38809 = 982^2 + 197^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003133 - 2¹⁰ = 1002109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501566 + 501567.

It is an arithmetic number, because the mean of its divisors is an integer number (501567).

2^1003133 is an apocalyptic number.

It is an amenable number.

1003133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003133 is an equidigital number, since it uses as much as digits as its factorization.

1003133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 11.

The square root of 1003133 is about 1001.5652749572. The cubic root of 1003133 is about 100.1043244596.

Adding to 1003133 its reverse (3313001), we get a palindrome (4316134).

The spelling of 1003133 in words is "one million, three thousand, one hundred thirty-three".