10133332320000 has 720 divisors, whose sum is σ = 35630844480000. Its totient is φ = 2548740096000.

The previous prime is 10133332319983. The next prime is 10133332320053. The reversal of 10133332320000 is 2323333101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2179677676 + ... + 2179682324.

It is an arithmetic number, because the mean of its divisors is an integer number (49487284000).

Almost surely, 2^{10133332320000} is an apocalyptic number.

10133332320000 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 10133332320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815422240000).

10133332320000 is an abundant number, since it is smaller than the sum of its proper divisors (25497512160000).

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

10133332320000 is an equidigital number, since it uses as much as digits as its factorization.

10133332320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4946 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 10133332320000 its reverse (2323333101), we get a palindrome (10135655653101).

It can be divided in two parts, 1013333 and 2320000, that added together give a palindrome (3333333).

The spelling of 10133332320000 in words is "ten trillion, one hundred thirty-three billion, three hundred thirty-two million, three hundred twenty thousand".