13023123011200 has 192 divisors, whose sum is σ = 33185026524600. Its totient is φ = 5046315171840.

The previous prime is 13023123011183. The next prime is 13023123011231. The reversal of 13023123011200 is 211032132031.

It can be written as a sum of positive squares in 12 ways, for example, as 6188830405696 + 6834292605504 = 2487736^2 + 2614248^2 .

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 23 ways as a sum of consecutive naturals, for example, 26873442 + ... + 27353758.

Almost surely, 2^{13023123011200} is an apocalyptic number.

13023123011200 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 13023123011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16592513262300).

13023123011200 is an abundant number, since it is smaller than the sum of its proper divisors (20161903513400).

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

13023123011200 is a wasteful number, since it uses less digits than its factorization.

13023123011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480607 (or 480590 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13023123011200 its reverse (211032132031), we get a palindrome (13234155143231).

The spelling of 13023123011200 in words is "thirteen trillion, twenty-three billion, one hundred twenty-three million, eleven thousand, two hundred".