204321101401300 has 72 divisors (see below), whose sum is σ = 479181924503352. Its totient is φ = 75173161728000.

The previous prime is 204321101401273. The next prime is 204321101401349. The reversal of 204321101401300 is 3104101123402.

204321101401300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 68577677194896 + 135743424206404 = 8281164^2 + 11650898^2 .

It is a super-2 number, since 2×204321101401300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279296761 + ... + 280027360.

It is an arithmetic number, because the mean of its divisors is an integer number (6655304506991).

Almost surely, 2^{204321101401300} is an apocalyptic number.

204321101401300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204321101401300 is an abundant number, since it is smaller than the sum of its proper divisors (274860823102052).

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

204321101401300 is a wasteful number, since it uses less digits than its factorization.

204321101401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559324429 (or 559324422 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 204321101401300 its reverse (3104101123402), we get a palindrome (207425202524702).

The spelling of 204321101401300 in words is "two hundred four trillion, three hundred twenty-one billion, one hundred one million, four hundred one thousand, three hundred".