203131134132400 has 120 divisors (see below), whose sum is σ = 489042066916080. Its totient is φ = 81082875847680.

The previous prime is 203131134132373. The next prime is 203131134132457. The reversal of 203131134132400 is 4231431131302.

203131134132400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395502966 + ... + 396016234.

It is an arithmetic number, because the mean of its divisors is an integer number (4075350557634).

Almost surely, 2^{203131134132400} is an apocalyptic number.

203131134132400 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 203131134132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244521033458040).

203131134132400 is an abundant number, since it is smaller than the sum of its proper divisors (285910932783680).

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

203131134132400 is a wasteful number, since it uses less digits than its factorization.

203131134132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515351 (or 515340 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 203131134132400 its reverse (4231431131302), we get a palindrome (207362565263702).

The spelling of 203131134132400 in words is "two hundred three trillion, one hundred thirty-one billion, one hundred thirty-four million, one hundred thirty-two thousand, four hundred".