100303133112000 has 1792 divisors, whose sum is σ = 468545114419200. Its totient is φ = 20432988979200.

The previous prime is 100303133111983. The next prime is 100303133112011. The reversal of 100303133112000 is 211331303001.

It is a happy number.

100303133112000 is a `hidden beast` number, since 10 + 0 + 30 + 313 + 311 + 2 + 0 + 0 + 0 = 666.

100303133112000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 569936019 + ... + 570111981.

It is an arithmetic number, because the mean of its divisors is an integer number (261464907600).

Almost surely, 2^{100303133112000} is an apocalyptic number.

100303133112000 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 100303133112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234272557209600).

100303133112000 is an abundant number, since it is smaller than the sum of its proper divisors (368241981307200).

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

100303133112000 is a wasteful number, since it uses less digits than its factorization.

100303133112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176048 (or 176022 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100303133112000 its reverse (211331303001), we get a palindrome (100514464415001).

The spelling of 100303133112000 in words is "one hundred trillion, three hundred three billion, one hundred thirty-three million, one hundred twelve thousand".