103310001112320 has 864 divisors, whose sum is σ = 382849239951360. Its totient is φ = 25630235688960.

The previous prime is 103310001112291. The next prime is 103310001112363. The reversal of 103310001112320 is 23211100013301.

103310001112320 is a `hidden beast` number, since 1 + 0 + 331 + 0 + 0 + 0 + 1 + 1 + 12 + 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 = 103310001112293 and 103310001112302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6412381065 + ... + 6412397175.

It is an arithmetic number, because the mean of its divisors is an integer number (443112546240).

Almost surely, 2^{103310001112320} is an apocalyptic number.

103310001112320 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 103310001112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191424619975680).

103310001112320 is an abundant number, since it is smaller than the sum of its proper divisors (279539238839040).

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

103310001112320 is a wasteful number, since it uses less digits than its factorization.

103310001112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16531 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103310001112320 its reverse (23211100013301), we get a palindrome (126521101125621).

The spelling of 103310001112320 in words is "one hundred three trillion, three hundred ten billion, one million, one hundred twelve thousand, three hundred twenty".