203313104214144 has 128 divisors (see below), whose sum is σ = 543534368705280. Its totient is φ = 67335051248640.

The previous prime is 203313104214127. The next prime is 203313104214223. The reversal of 203313104214144 is 441412401313302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40424307 + ... + 45174669.

It is an arithmetic number, because the mean of its divisors is an integer number (4246362255510).

Almost surely, 2^{203313104214144} is an apocalyptic number.

203313104214144 is a gapful number since it is divisible by the number (24) 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 203313104214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271767184352640).

203313104214144 is an abundant number, since it is smaller than the sum of its proper divisors (340221264491136).

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

203313104214144 is a wasteful number, since it uses less digits than its factorization.

203313104214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4751098 (or 4751086 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 203313104214144 its reverse (441412401313302), we get a palindrome (644725505527446).

The spelling of 203313104214144 in words is "two hundred three trillion, three hundred thirteen billion, one hundred four million, two hundred fourteen thousand, one hundred forty-four".