203204014013000 has 512 divisors, whose sum is σ = 666187970273280. Its totient is φ = 55922359680000.

The previous prime is 203204014012939. The next prime is 203204014013003. The reversal of 203204014013000 is 310410402302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (203204014013003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18609935 + ... + 27436065.

It is an arithmetic number, because the mean of its divisors is an integer number (1301148379440).

Almost surely, 2^{203204014013000} is an apocalyptic number.

203204014013000 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 203204014013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333093985136640).

203204014013000 is an abundant number, since it is smaller than the sum of its proper divisors (462983956260280).

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

203204014013000 is a wasteful number, since it uses less digits than its factorization.

203204014013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826206 (or 8826192 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203204014013000 its reverse (310410402302), we get a palindrome (203514424415302).

The spelling of 203204014013000 in words is "two hundred three trillion, two hundred four billion, fourteen million, thirteen thousand".