13310330310030 has 128 divisors (see below), whose sum is σ = 35014194948096. Its totient is φ = 3218240678400.

The previous prime is 13310330310019. The next prime is 13310330310031. The reversal of 13310330310030 is 3001303301331.

It is a junction number, because it is equal to n+sod(n) for n = 13310330309979 and 13310330310006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13310330310031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16910535 + ... + 17680125.

It is an arithmetic number, because the mean of its divisors is an integer number (273548398032).

Almost surely, 2^{13310330310030} is an apocalyptic number.

13310330310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310330310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507097474048).

13310330310030 is an abundant number, since it is smaller than the sum of its proper divisors (21703864638066).

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

13310330310030 is a wasteful number, since it uses less digits than its factorization.

13310330310030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770402.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 13310330310030 its reverse (3001303301331), we get a palindrome (16311633611361).

The spelling of 13310330310030 in words is "thirteen trillion, three hundred ten billion, three hundred thirty million, three hundred ten thousand, thirty".