1001133128 has 48 divisors (see below), whose sum is σ = 2058678180. Its totient is φ = 454823936.

The previous prime is 1001133101. The next prime is 1001133139. The reversal of 1001133128 is 8213311001.

It can be written as a sum of positive squares in 6 ways, for example, as 846926404 + 154206724 = 29102^2 + 12418^2 .

It is an unprimeable number.

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, 110000 + ... + 118752.

Almost surely, 2^1001133128 is an apocalyptic number.

It is an amenable number.

1001133128 is an abundant number, since it is smaller than the sum of its proper divisors (1057545052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001133128 is a wasteful number, since it uses less digits than its factorization.

1001133128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8801 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1001133128 is about 31640.6878559869. The cubic root of 1001133128 is about 1000.3775667587.

Adding to 1001133128 its reverse (8213311001), we get a palindrome (9214444129).

The spelling of 1001133128 in words is "one billion, one million, one hundred thirty-three thousand, one hundred twenty-eight".