100332313320000 has 280 divisors, whose sum is σ = 331765924195552. Its totient is φ = 26751744000000.

The previous prime is 100332313319983. The next prime is 100332313320047. The reversal of 100332313320000 is 23313233001.

It is a super-2 number, since 2×100332313320000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 979268775 + ... + 979371225.

Almost surely, 2^{100332313320000} is an apocalyptic number.

100332313320000 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 100332313320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165882962097776).

100332313320000 is an abundant number, since it is smaller than the sum of its proper divisors (231433610875552).

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

100332313320000 is an equidigital number, since it uses as much as digits as its factorization.

100332313320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110647 (or 110622 counting only the distinct ones).

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

Adding to 100332313320000 its reverse (23313233001), we get a palindrome (100355626553001).

The spelling of 100332313320000 in words is "one hundred trillion, three hundred thirty-two billion, three hundred thirteen million, three hundred twenty thousand".