100333310132000 has 384 divisors, whose sum is σ = 270088847159040. Its totient is φ = 36327782400000.

The previous prime is 100333310131961. The next prime is 100333310132053. The reversal of 100333310132000 is 231013333001.

100333310132000 is digitally balanced in base 3, 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 (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34138586531 + ... + 34138589469.

It is an arithmetic number, because the mean of its divisors is an integer number (703356372810).

Almost surely, 2^{100333310132000} is an apocalyptic number.

100333310132000 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 100333310132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135044423579520).

100333310132000 is an abundant number, since it is smaller than the sum of its proper divisors (169755537027040).

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

100333310132000 is a wasteful number, since it uses less digits than its factorization.

100333310132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6053 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 100333310132000 its reverse (231013333001), we get a palindrome (100564323465001).

The spelling of 100333310132000 in words is "one hundred trillion, three hundred thirty-three billion, three hundred ten million, one hundred thirty-two thousand".