10033122320 has 80 divisors (see below), whose sum is σ = 25313504832. Its totient is φ = 3676208640.

The previous prime is 10033122299. The next prime is 10033122329. The reversal of 10033122320 is 2322133001.

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

It is not an unprimeable number, because it can be changed into a prime (10033122329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 99419 + ... + 173061.

Almost surely, 2^10033122320 is an apocalyptic number.

10033122320 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 10033122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12656752416).

10033122320 is an abundant number, since it is smaller than the sum of its proper divisors (15280382512).

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

10033122320 is a wasteful number, since it uses less digits than its factorization.

10033122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73800 (or 73794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10033122320 its reverse (2322133001), we get a palindrome (12355255321).

The spelling of 10033122320 in words is "ten billion, thirty-three million, one hundred twenty-two thousand, three hundred twenty".