203113042132240 has 320 divisors, whose sum is σ = 500173072588800. Its totient is φ = 76581510469632.

The previous prime is 203113042132223. The next prime is 203113042132271. The reversal of 203113042132240 is 42231240311302.

It is a junction number, because it is equal to n+sod(n) for n = 203113042132199 and 203113042132208.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125455862151 + ... + 125455863769.

It is an arithmetic number, because the mean of its divisors is an integer number (1563040851840).

Almost surely, 2^{203113042132240} is an apocalyptic number.

203113042132240 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 203113042132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250086536294400).

203113042132240 is an abundant number, since it is smaller than the sum of its proper divisors (297060030456560).

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

203113042132240 is a wasteful number, since it uses less digits than its factorization.

203113042132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3894 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 203113042132240 its reverse (42231240311302), we get a palindrome (245344282443542).

The spelling of 203113042132240 in words is "two hundred three trillion, one hundred thirteen billion, forty-two million, one hundred thirty-two thousand, two hundred forty".