100313203320 has 384 divisors, whose sum is σ = 375350976000. Its totient is φ = 22978391040.

The previous prime is 100313203307. The next prime is 100313203379. The reversal of 100313203320 is 23302313001.

100313203320 is a `hidden beast` number, since 1 + 0 + 0 + 313 + 20 + 332 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100313203293 and 100313203302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33028842 + ... + 33031878.

It is an arithmetic number, because the mean of its divisors is an integer number (977476500).

Almost surely, 2^100313203320 is an apocalyptic number.

100313203320 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 100313203320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187675488000).

100313203320 is an abundant number, since it is smaller than the sum of its proper divisors (275037772680).

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

100313203320 is a wasteful number, since it uses less digits than its factorization.

100313203320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 100313203320 its reverse (23302313001), we get a palindrome (123615516321).

The spelling of 100313203320 in words is "one hundred billion, three hundred thirteen million, two hundred three thousand, three hundred twenty".