1002133312 has 56 divisors (see below), whose sum is σ = 2020046760. Its totient is φ = 493209600.

The previous prime is 1002133303. The next prime is 1002133331. The reversal of 1002133312 is 2133312001.

It can be written as a sum of positive squares in 4 ways, for example, as 930494016 + 71639296 = 30504^2 + 8464^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 1479918 + ... + 1480594.

Almost surely, 2^1002133312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010023380).

1002133312 is an abundant number, since it is smaller than the sum of its proper divisors (1017913448).

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

1002133312 is a wasteful number, since it uses less digits than its factorization.

1002133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1002133312 is about 31656.4892557592. The cubic root of 1002133312 is about 1000.7105989296.

Adding to 1002133312 its reverse (2133312001), we get a palindrome (3135445313).

Subtracting 1002133312 from its reverse (2133312001), we obtain a square (1131178689 = 33633²).

The spelling of 1002133312 in words is "one billion, two million, one hundred thirty-three thousand, three hundred twelve".