13133021122320 has 320 divisors, whose sum is σ = 44916344598528. Its totient is φ = 3147814656000.

The previous prime is 13133021122307. The next prime is 13133021122321. The reversal of 13133021122320 is 2322112033131.

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

It is not an unprimeable number, because it can be changed into a prime (13133021122321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171543250 + ... + 171619790.

Almost surely, 2^{13133021122320} is an apocalyptic number.

13133021122320 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 13133021122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22458172299264).

13133021122320 is an abundant number, since it is smaller than the sum of its proper divisors (31783323476208).

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

13133021122320 is a wasteful number, since it uses less digits than its factorization.

13133021122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77302 (or 77296 counting only the distinct ones).

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

Adding to 13133021122320 its reverse (2322112033131), we get a palindrome (15455133155451).

The spelling of 13133021122320 in words is "thirteen trillion, one hundred thirty-three billion, twenty-one million, one hundred twenty-two thousand, three hundred twenty".