13313121330 has 64 divisors (see below), whose sum is σ = 32838807168. Its totient is φ = 3451714560.

The previous prime is 13313121313. The next prime is 13313121331. The reversal of 13313121330 is 3312131331.

13313121330 is digitally balanced in base 5, 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 = 13313121297 and 13313121306.

It is not an unprimeable number, because it can be changed into a prime (13313121331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1909050 + ... + 1916010.

It is an arithmetic number, because the mean of its divisors is an integer number (513106362).

Almost surely, 2^13313121330 is an apocalyptic number.

13313121330 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 13313121330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16419403584).

13313121330 is an abundant number, since it is smaller than the sum of its proper divisors (19525685838).

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

13313121330 is a wasteful number, since it uses less digits than its factorization.

13313121330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8731.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13313121330 its reverse (3312131331), we get a palindrome (16625252661).

The spelling of 13313121330 in words is "thirteen billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred thirty".