203113098720 has 720 divisors, whose sum is σ = 838119577680. Its totient is φ = 46188527616.

The previous prime is 203113098703. The next prime is 203113098751. The reversal of 203113098720 is 27890311302.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 144153376 + ... + 144154784.

It is an arithmetic number, because the mean of its divisors is an integer number (1164054969).

Almost surely, 2^203113098720 is an apocalyptic number.

203113098720 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 203113098720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419059788840).

203113098720 is an abundant number, since it is smaller than the sum of its proper divisors (635006478960).

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

203113098720 is a wasteful number, since it uses less digits than its factorization.

203113098720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 203113098720 in words is "two hundred three billion, one hundred thirteen million, ninety-eight thousand, seven hundred twenty".