103313200320 has 336 divisors, whose sum is σ = 388849807008. Its totient is φ = 24968724480.

The previous prime is 103313200303. The next prime is 103313200339. The reversal of 103313200320 is 23002313301.

103313200320 is a `hidden beast` number, since 10 + 3 + 313 + 20 + 0 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103313200293 and 103313200302.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10671322 + ... + 10680998.

Almost surely, 2^103313200320 is an apocalyptic number.

103313200320 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 103313200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194424903504).

103313200320 is an abundant number, since it is smaller than the sum of its proper divisors (285536606688).

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

103313200320 is a wasteful number, since it uses less digits than its factorization.

103313200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10035 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103313200320 its reverse (23002313301), we get a palindrome (126315513621).

The spelling of 103313200320 in words is "one hundred three billion, three hundred thirteen million, two hundred thousand, three hundred twenty".