100240330133300 has 144 divisors (see below), whose sum is σ = 248901153473280. Its totient is φ = 34325954288640.

The previous prime is 100240330133257. The next prime is 100240330133327. The reversal of 100240330133300 is 3331033042001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2007712937 + ... + 2007762863.

Almost surely, 2^{100240330133300} is an apocalyptic number.

100240330133300 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 100240330133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124450576736640).

100240330133300 is an abundant number, since it is smaller than the sum of its proper divisors (148660823339980).

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

100240330133300 is a wasteful number, since it uses less digits than its factorization.

100240330133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53410 (or 53403 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 100240330133300 its reverse (3331033042001), we get a palindrome (103571363175301).

The spelling of 100240330133300 in words is "one hundred trillion, two hundred forty billion, three hundred thirty million, one hundred thirty-three thousand, three hundred".