203313001100 has 144 divisors (see below), whose sum is σ = 531766964736. Its totient is φ = 66557568000.

The previous prime is 203313001057. The next prime is 203313001109. The reversal of 203313001100 is 1100313302.

203313001100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (203313001109) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 193745 + ... + 666455.

It is an arithmetic number, because the mean of its divisors is an integer number (3692826144).

Almost surely, 2^203313001100 is an apocalyptic number.

203313001100 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 203313001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265883482368).

203313001100 is an abundant number, since it is smaller than the sum of its proper divisors (328453963636).

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

203313001100 is a wasteful number, since it uses less digits than its factorization.

203313001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472776 (or 472769 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 203313001100 its reverse (1100313302), we get a palindrome (204413314402).

The spelling of 203313001100 in words is "two hundred three billion, three hundred thirteen million, one thousand, one hundred".