100311330000 has 300 divisors, whose sum is σ = 376692169920. Its totient is φ = 22927968000.

The previous prime is 100311329981. The next prime is 100311330001. The reversal of 100311330000 is 33113001.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100311330001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1435881 + ... + 1504119.

Almost surely, 2^100311330000 is an apocalyptic number.

100311330000 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 100311330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188346084960).

100311330000 is an abundant number, since it is smaller than the sum of its proper divisors (276380839920).

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

100311330000 is an equidigital number, since it uses as much as digits as its factorization.

100311330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68284 (or 68256 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 100311330000 its reverse (33113001), we get a palindrome (100344443001).

The spelling of 100311330000 in words is "one hundred billion, three hundred eleven million, three hundred thirty thousand".