100433041341000 has 512 divisors, whose sum is σ = 319392990259200. Its totient is φ = 26271732326400.

The previous prime is 100433041340971. The next prime is 100433041341041. The reversal of 100433041341000 is 143140334001.

100433041341000 is digitally balanced in base 4, 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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17785200177 + ... + 17785205823.

It is an arithmetic number, because the mean of its divisors is an integer number (623814434100).

Almost surely, 2^{100433041341000} is an apocalyptic number.

100433041341000 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 100433041341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159696495129600).

100433041341000 is an abundant number, since it is smaller than the sum of its proper divisors (218959948918200).

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

100433041341000 is a wasteful number, since it uses less digits than its factorization.

100433041341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100433041341000 its reverse (143140334001), we get a palindrome (100576181675001).

The spelling of 100433041341000 in words is "one hundred trillion, four hundred thirty-three billion, forty-one million, three hundred forty-one thousand".