1032320133 has 28 divisors (see below), whose sum is σ = 1666846860. Its totient is φ = 635268096.

The previous prime is 1032320131. The next prime is 1032320147. The reversal of 1032320133 is 3310232301.

It can be written as a sum of positive squares in 2 ways, for example, as 252905409 + 779414724 = 15903^2 + 27918^2 .

It is not a de Polignac number, because 1032320133 - 2¹ = 1032320131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032320131) 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 27 ways as a sum of consecutive naturals, for example, 44988 + ... + 63941.

It is an arithmetic number, because the mean of its divisors is an integer number (59530245).

Almost surely, 2^1032320133 is an apocalyptic number.

1032320133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1032320133 is a deficient number, since it is larger than the sum of its proper divisors (634526727).

1032320133 is an equidigital number, since it uses as much as digits as its factorization.

1032320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108960 (or 108945 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1032320133 is about 32129.7390745708. The cubic root of 1032320133 is about 1010.6593521665.

Adding to 1032320133 its reverse (3310232301), we get a palindrome (4342552434).

The spelling of 1032320133 in words is "one billion, thirty-two million, three hundred twenty thousand, one hundred thirty-three".