103313200332320 has 288 divisors, whose sum is σ = 274420614521088. Its totient is φ = 36711538688000.

The previous prime is 103313200332319. The next prime is 103313200332323. The reversal of 103313200332320 is 23233002313301.

It is a happy number.

It is a super-3 number, since 3×103313200332320³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103313200332320.

It is not an unprimeable number, because it can be changed into a prime (103313200332323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 583170155 + ... + 583347285.

It is an arithmetic number, because the mean of its divisors is an integer number (952849355976).

Almost surely, 2^{103313200332320} is an apocalyptic number.

103313200332320 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 103313200332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137210307260544).

103313200332320 is an abundant number, since it is smaller than the sum of its proper divisors (171107414188768).

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

103313200332320 is a wasteful number, since it uses less digits than its factorization.

103313200332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177856 (or 177837 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 103313200332320 its reverse (23233002313301), we get a palindrome (126546202645621).

The spelling of 103313200332320 in words is "one hundred three trillion, three hundred thirteen billion, two hundred million, three hundred thirty-two thousand, three hundred twenty".