203132130322240 has 224 divisors, whose sum is σ = 557561367740160. Its totient is φ = 69048742035456.

The previous prime is 203132130322217. The next prime is 203132130322259. The reversal of 203132130322240 is 42223031231302.

203132130322240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 203132130322199 and 203132130322208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148653954 + ... + 150014206.

It is an arithmetic number, because the mean of its divisors is an integer number (2489113248840).

Almost surely, 2^{203132130322240} is an apocalyptic number.

203132130322240 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 203132130322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278780683870080).

203132130322240 is an abundant number, since it is smaller than the sum of its proper divisors (354429237417920).

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

203132130322240 is a wasteful number, since it uses less digits than its factorization.

203132130322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360849 (or 1360839 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 203132130322240 its reverse (42223031231302), we get a palindrome (245355161553542).

The spelling of 203132130322240 in words is "two hundred three trillion, one hundred thirty-two billion, one hundred thirty million, three hundred twenty-two thousand, two hundred forty".