1032133312 has 56 divisors (see below), whose sum is σ = 2345025536. Its totient is φ = 441531648.

The previous prime is 1032133309. The next prime is 1032133321. The reversal of 1032133312 is 2133312301.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 1032133312.

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 7 ways as a sum of consecutive naturals, for example, 286273 + ... + 289855.

It is an arithmetic number, because the mean of its divisors is an integer number (41875456).

Almost surely, 2^1032133312 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 1032133312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172512768).

1032133312 is an abundant number, since it is smaller than the sum of its proper divisors (1312892224).

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

1032133312 is an equidigital number, since it uses as much as digits as its factorization.

1032133312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4235 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1032133312 is about 32126.8316520630. The cubic root of 1032133312 is about 1010.5983814864.

Adding to 1032133312 its reverse (2133312301), we get a palindrome (3165445613).

The spelling of 1032133312 in words is "one billion, thirty-two million, one hundred thirty-three thousand, three hundred twelve".