100313032200 has 192 divisors, whose sum is σ = 330648480000. Its totient is φ = 25070653440.

The previous prime is 100313032189. The next prime is 100313032201. The reversal of 100313032200 is 2230313001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100313032200.

It is not an unprimeable number, because it can be changed into a prime (100313032201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2417226 + ... + 2458374.

It is an arithmetic number, because the mean of its divisors is an integer number (1722127500).

Almost surely, 2^100313032200 is an apocalyptic number.

100313032200 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 100313032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165324240000).

100313032200 is an abundant number, since it is smaller than the sum of its proper divisors (230335447800).

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

100313032200 is a wasteful number, since it uses less digits than its factorization.

100313032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41424 (or 41415 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 100313032200 its reverse (2230313001), we get a palindrome (102543345201).

The spelling of 100313032200 in words is "one hundred billion, three hundred thirteen million, thirty-two thousand, two hundred".