204310312133100 has 288 divisors, whose sum is σ = 617733422530560. Its totient is φ = 52075259808000.

The previous prime is 204310312133033. The next prime is 204310312133129. The reversal of 204310312133100 is 1331213013402.

204310312133100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204310312133100² (a number of 29 digits) contains 22 as substring.

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, 2870660515 + ... + 2870731685.

It is an arithmetic number, because the mean of its divisors is an integer number (2144907717120).

Almost surely, 2^{204310312133100} is an apocalyptic number.

204310312133100 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 204310312133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308866711265280).

204310312133100 is an abundant number, since it is smaller than the sum of its proper divisors (413423110397460).

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

204310312133100 is a wasteful number, since it uses less digits than its factorization.

204310312133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75021 (or 75014 counting only the distinct ones).

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

Adding to 204310312133100 its reverse (1331213013402), we get a palindrome (205641525146502).

The spelling of 204310312133100 in words is "two hundred four trillion, three hundred ten billion, three hundred twelve million, one hundred thirty-three thousand, one hundred".