100313313524424 has 1024 divisors, whose sum is σ = 378073350144000. Its totient is φ = 23798117053440.

The previous prime is 100313313524419. The next prime is 100313313524497. The reversal of 100313313524424 is 424425313313001.

100313313524424 is a `hidden beast` number, since 1 + 0 + 0 + 31 + 331 + 35 + 244 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 255 ways as a sum of consecutive naturals, for example, 24592622017 + ... + 24592626095.

It is an arithmetic number, because the mean of its divisors is an integer number (369212256000).

Almost surely, 2^{100313313524424} is an apocalyptic number.

100313313524424 is a gapful number since it is divisible by the number (14) 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 100313313524424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189036675072000).

100313313524424 is an abundant number, since it is smaller than the sum of its proper divisors (277760036619576).

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

100313313524424 is a wasteful number, since it uses less digits than its factorization.

100313313524424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 100313313524424 its reverse (424425313313001), we get a palindrome (524738626837425).

The spelling of 100313313524424 in words is "one hundred trillion, three hundred thirteen billion, three hundred thirteen million, five hundred twenty-four thousand, four hundred twenty-four".