100324513718520 has 1280 divisors, whose sum is σ = 385494463025280. Its totient is φ = 20756968243200.

The previous prime is 100324513718393. The next prime is 100324513718557. The reversal of 100324513718520 is 25817315423001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 131832474940 + ... + 131832475700.

Almost surely, 2^{100324513718520} is an apocalyptic number.

100324513718520 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 100324513718520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192747231512640).

100324513718520 is an abundant number, since it is smaller than the sum of its proper divisors (285169949306760).

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

100324513718520 is a wasteful number, since it uses less digits than its factorization.

100324513718520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 100324513718520 in words is "one hundred trillion, three hundred twenty-four billion, five hundred thirteen million, seven hundred eighteen thousand, five hundred twenty".