103311322343216 has 240 divisors, whose sum is σ = 235499935968000. Its totient is φ = 43730659095552.

The previous prime is 103311322343213. The next prime is 103311322343267. The reversal of 103311322343216 is 612343223113301.

It is not an unprimeable number, because it can be changed into a prime (103311322343213) 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, 378144935 + ... + 378418041.

It is an arithmetic number, because the mean of its divisors is an integer number (981249733200).

Almost surely, 2^{103311322343216} is an apocalyptic number.

103311322343216 is a gapful number since it is divisible by the number (16) 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 103311322343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117749967984000).

103311322343216 is an abundant number, since it is smaller than the sum of its proper divisors (132188613624784).

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

103311322343216 is a wasteful number, since it uses less digits than its factorization.

103311322343216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273396 (or 273377 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

Adding to 103311322343216 its reverse (612343223113301), we get a palindrome (715654545456517).

The spelling of 103311322343216 in words is "one hundred three trillion, three hundred eleven billion, three hundred twenty-two million, three hundred forty-three thousand, two hundred sixteen".