13313213212320 has 1152 divisors, whose sum is σ = 56850209095680. Its totient is φ = 2766697758720.

The previous prime is 13313213212309. The next prime is 13313213212331. The reversal of 13313213212320 is 2321231231331.

13313213212320 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 321 + 3 + 2 + 12 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (13313213212309) and next prime (13313213212331).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3500711539 + ... + 3500715341.

It is an arithmetic number, because the mean of its divisors is an integer number (49349139840).

Almost surely, 2^{13313213212320} is an apocalyptic number.

13313213212320 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 13313213212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28425104547840).

13313213212320 is an abundant number, since it is smaller than the sum of its proper divisors (43536995883360).

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

13313213212320 is a wasteful number, since it uses less digits than its factorization.

13313213212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13313213212320 its reverse (2321231231331), we get a palindrome (15634444443651).

The spelling of 13313213212320 in words is "thirteen trillion, three hundred thirteen billion, two hundred thirteen million, two hundred twelve thousand, three hundred twenty".