13211122031200 has 144 divisors (see below), whose sum is σ = 33107307871680. Its totient is φ = 5146081873920.

The previous prime is 13211122031197. The next prime is 13211122031243. The reversal of 13211122031200 is 213022111231.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3181842 + ... + 6045358.

It is an arithmetic number, because the mean of its divisors is an integer number (229911860220).

Almost surely, 2^{13211122031200} is an apocalyptic number.

13211122031200 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 13211122031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16553653935840).

13211122031200 is an abundant number, since it is smaller than the sum of its proper divisors (19896185840480).

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

13211122031200 is a wasteful number, since it uses less digits than its factorization.

13211122031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863689 (or 2863676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 13211122031200 its reverse (213022111231), we get a palindrome (13424144142431).

The spelling of 13211122031200 in words is "thirteen trillion, two hundred eleven billion, one hundred twenty-two million, thirty-one thousand, two hundred".