13320123212032 has 576 divisors, whose sum is σ = 34204315622400. Its totient is φ = 5037474447360.

The previous prime is 13320123212023. The next prime is 13320123212041. The reversal of 13320123212032 is 23021232102331.

It is an interprime number because it is at equal distance from previous prime (13320123212023) and next prime (13320123212041).

It is a junction number, because it is equal to n+sod(n) for n = 13320123211988 and 13320123212006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10098652269 + ... + 10098653587.

It is an arithmetic number, because the mean of its divisors is an integer number (59382492400).

Almost surely, 2^{13320123212032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320123212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102157811200).

13320123212032 is an abundant number, since it is smaller than the sum of its proper divisors (20884192410368).

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

13320123212032 is a wasteful number, since it uses less digits than its factorization.

13320123212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13320123212032 its reverse (23021232102331), we get a palindrome (36341355314363).

The spelling of 13320123212032 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-three million, two hundred twelve thousand, thirty-two".