203312313300 has 144 divisors (see below), whose sum is σ = 601209020160. Its totient is φ = 53023971840.

The previous prime is 203312313283. The next prime is 203312313343. The reversal of 203312313300 is 3313213302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22513186 + ... + 22522214.

It is an arithmetic number, because the mean of its divisors is an integer number (4175062640).

Almost surely, 2^203312313300 is an apocalyptic number.

203312313300 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 203312313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300604510080).

203312313300 is an abundant number, since it is smaller than the sum of its proper divisors (397896706860).

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

203312313300 is a wasteful number, since it uses less digits than its factorization.

203312313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10690 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 203312313300 its reverse (3313213302), we get a palindrome (206625526602).

The spelling of 203312313300 in words is "two hundred three billion, three hundred twelve million, three hundred thirteen thousand, three hundred".