13300100100320 has 192 divisors, whose sum is σ = 34619073076224. Its totient is φ = 4788297400320.

The previous prime is 13300100100197. The next prime is 13300100100403. The reversal of 13300100100320 is 2300100100331.

13300100100320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13300100100295 and 13300100100304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1236868064 + ... + 1236878816.

It is an arithmetic number, because the mean of its divisors is an integer number (180307672272).

Almost surely, 2^{13300100100320} is an apocalyptic number.

13300100100320 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 13300100100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17309536538112).

13300100100320 is an abundant number, since it is smaller than the sum of its proper divisors (21318972975904).

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

13300100100320 is a wasteful number, since it uses less digits than its factorization.

13300100100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17705 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 13300100100320 its reverse (2300100100331), we get a palindrome (15600200200651).

The spelling of 13300100100320 in words is "thirteen trillion, three hundred billion, one hundred million, one hundred thousand, three hundred twenty".