204311320313100 has 864 divisors, whose sum is σ = 850392458899200. Its totient is φ = 37126020556800.

The previous prime is 204311320313063. The next prime is 204311320313159. The reversal of 204311320313100 is 1313023113402.

It is a super-2 number, since 2×204311320313100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 37382166 + ... + 42497634.

Almost surely, 2^{204311320313100} is an apocalyptic number.

204311320313100 is a gapful number since it is divisible by the number (20) 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 204311320313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425196229449600).

204311320313100 is an abundant number, since it is smaller than the sum of its proper divisors (646081138586100).

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

204311320313100 is a wasteful number, since it uses less digits than its factorization.

204311320313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5115543 (or 5115529 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 204311320313100 its reverse (1313023113402), we get a palindrome (205624343426502).

The spelling of 204311320313100 in words is "two hundred four trillion, three hundred eleven billion, three hundred twenty million, three hundred thirteen thousand, one hundred".