1032133120 has 80 divisors (see below), whose sum is σ = 2488713480. Its totient is φ = 410517504.

The previous prime is 1032133117. The next prime is 1032133159. The reversal of 1032133120 is 213312301.

It can be written as a sum of positive squares in 4 ways, for example, as 888516864 + 143616256 = 29808^2 + 11984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 1032133094 and 1032133103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493036 + ... + 495124.

Almost surely, 2^1032133120 is an apocalyptic number.

1032133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244356740).

1032133120 is an abundant number, since it is smaller than the sum of its proper divisors (1456580360).

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

1032133120 is an equidigital number, since it uses as much as digits as its factorization.

1032133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2289 counting only the distinct ones).

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

The square root of 1032133120 is about 32126.8286639064. The cubic root of 1032133120 is about 1010.5983188217.

Adding to 1032133120 its reverse (213312301), we get a palindrome (1245445421).

The spelling of 1032133120 in words is "one billion, thirty-two million, one hundred thirty-three thousand, one hundred twenty".