10023133220320 has 96 divisors (see below), whose sum is σ = 25838156252160. Its totient is φ = 3643956195840.

The previous prime is 10023133220297. The next prime is 10023133220357. The reversal of 10023133220320 is 2302233132001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10023133220291 and 10023133220300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7216861 + ... + 8492899.

It is an arithmetic number, because the mean of its divisors is an integer number (269147460960).

Almost surely, 2^{10023133220320} is an apocalyptic number.

10023133220320 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 10023133220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12919078126080).

10023133220320 is an abundant number, since it is smaller than the sum of its proper divisors (15815023031840).

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

10023133220320 is a wasteful number, since it uses less digits than its factorization.

10023133220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280528 (or 1280520 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 10023133220320 its reverse (2302233132001), we get a palindrome (12325366352321).

The spelling of 10023133220320 in words is "ten trillion, twenty-three billion, one hundred thirty-three million, two hundred twenty thousand, three hundred twenty".