1005133112 has 32 divisors (see below), whose sum is σ = 1920137520. Its totient is φ = 493136640.

The previous prime is 1005133111. The next prime is 1005133123. The reversal of 1005133112 is 2113315001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220763 + ... + 225269.

Almost surely, 2^1005133112 is an apocalyptic number.

It is an amenable number.

1005133112 is a deficient number, since it is larger than the sum of its proper divisors (915004408).

1005133112 is a wasteful number, since it uses less digits than its factorization.

1005133112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031 (or 5027 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 1005133112 is about 31703.8343422369. The cubic root of 1005133112 is about 1001.7081180050.

Adding to 1005133112 its reverse (2113315001), we get a palindrome (3118448113).

The spelling of 1005133112 in words is "one billion, five million, one hundred thirty-three thousand, one hundred twelve".