10033132320 has 144 divisors (see below), whose sum is σ = 35418834360. Its totient is φ = 2583232512.

The previous prime is 10033132309. The next prime is 10033132321. The reversal of 10033132320 is 2323133001.

10033132320 is a `hidden beast` number, since 10 + 0 + 331 + 3 + 2 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9306075024 + 727057296 = 96468^2 + 26964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10033132293 and 10033132302.

It is not an unprimeable number, because it can be changed into a prime (10033132321) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 78369 + ... + 161888.

Almost surely, 2^10033132320 is an apocalyptic number.

10033132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10033132320 is an abundant number, since it is smaller than the sum of its proper divisors (25385702040).

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

10033132320 is a wasteful number, since it uses less digits than its factorization.

10033132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240307 (or 240296 counting only the distinct ones).

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

Adding to 10033132320 its reverse (2323133001), we get a palindrome (12356265321).

It can be divided in two parts, 100331 and 32320, that added together give a cube (132651 = 51³).

The spelling of 10033132320 in words is "ten billion, thirty-three million, one hundred thirty-two thousand, three hundred twenty".