203401331100 has 216 divisors, whose sum is σ = 695816214912. Its totient is φ = 49287657600.

The previous prime is 203401331069. The next prime is 203401331129. The reversal of 203401331100 is 1133104302.

203401331100 is a `hidden beast` number, since 2 + 0 + 340 + 13 + 311 + 0 + 0 = 666.

203401331100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44379409 + ... + 44383991.

Almost surely, 2^203401331100 is an apocalyptic number.

203401331100 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 203401331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347908107456).

203401331100 is an abundant number, since it is smaller than the sum of its proper divisors (492414883812).

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

203401331100 is a wasteful number, since it uses less digits than its factorization.

203401331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9097 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 203401331100 its reverse (1133104302), we get a palindrome (204534435402).

The spelling of 203401331100 in words is "two hundred three billion, four hundred one million, three hundred thirty-one thousand, one hundred".