103313120200 has 96 divisors (see below), whose sum is σ = 248241377160. Its totient is φ = 39960166400.

The previous prime is 103313120191. The next prime is 103313120227. The reversal of 103313120200 is 2021313301.

It can be written as a sum of positive squares in 12 ways, for example, as 965593476 + 102347526724 = 31074^2 + 319918^2 .

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 23 ways as a sum of consecutive naturals, for example, 870852 + ... + 982348.

Almost surely, 2^103313120200 is an apocalyptic number.

103313120200 is a gapful number since it is divisible by the number (10) 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 103313120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124120688580).

103313120200 is an abundant number, since it is smaller than the sum of its proper divisors (144928256960).

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

103313120200 is a wasteful number, since it uses less digits than its factorization.

103313120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111667 (or 111658 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103313120200 its reverse (2021313301), we get a palindrome (105334433501).

The spelling of 103313120200 in words is "one hundred three billion, three hundred thirteen million, one hundred twenty thousand, two hundred".