203013142400 has 96 divisors (see below), whose sum is σ = 502427065080. Its totient is φ = 81056102400.

The previous prime is 203013142357. The next prime is 203013142417. The reversal of 203013142400 is 4241310302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1692410 + ... + 1808390.

Almost surely, 2^203013142400 is an apocalyptic number.

203013142400 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 203013142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251213532540).

203013142400 is an abundant number, since it is smaller than the sum of its proper divisors (299413922680).

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

203013142400 is a wasteful number, since it uses less digits than its factorization.

203013142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116552 (or 116535 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 203013142400 its reverse (4241310302), we get a palindrome (207254452702).

The spelling of 203013142400 in words is "two hundred three billion, thirteen million, one hundred forty-two thousand, four hundred".