13113132022320 has 480 divisors, whose sum is σ = 47499762320640. Its totient is φ = 2981797632000.

The previous prime is 13113132022267. The next prime is 13113132022369. The reversal of 13113132022320 is 2322023131131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55610107 + ... + 55845413.

It is an arithmetic number, because the mean of its divisors is an integer number (98957838168).

Almost surely, 2^{13113132022320} is an apocalyptic number.

13113132022320 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 13113132022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23749881160320).

13113132022320 is an abundant number, since it is smaller than the sum of its proper divisors (34386630298320).

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

13113132022320 is a wasteful number, since it uses less digits than its factorization.

13113132022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235465 (or 235448 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13113132022320 its reverse (2322023131131), we get a palindrome (15435155153451).

The spelling of 13113132022320 in words is "thirteen trillion, one hundred thirteen billion, one hundred thirty-two million, twenty-two thousand, three hundred twenty".