10001133 has 12 divisors (see below), whose sum is σ = 14683708. Its totient is φ = 6557760.

The previous prime is 10001119. The next prime is 10001203. The reversal of 10001133 is 33110001.

It can be written as a sum of positive squares in 2 ways, for example, as 1108809 + 8892324 = 1053^2 + 2982^2 .

It is not a de Polignac number, because 10001133 - 2⁸ = 10000877 is a prime.

It is a super-2 number, since 2×10001133² = 200045322567378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001533) 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 in 11 ways as a sum of consecutive naturals, for example, 8560 + ... + 9657.

Almost surely, 2^10001133 is an apocalyptic number.

It is an amenable number.

10001133 is a deficient number, since it is larger than the sum of its proper divisors (4682575).

10001133 is a wasteful number, since it uses less digits than its factorization.

10001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284 (or 18281 counting only the distinct ones).

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

The square root of 10001133 is about 3162.4567981239. The cubic root of 10001133 is about 215.4516052776.

Adding to 10001133 its reverse (33110001), we get a palindrome (43111134).

The spelling of 10001133 in words is "ten million, one thousand, one hundred thirty-three".