13111323123200 has 240 divisors, whose sum is σ = 33547056660480. Its totient is φ = 5073103872000.

The previous prime is 13111323123181. The next prime is 13111323123203. The reversal of 13111323123200 is 232132311131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111323123203) by changing a digit.

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, 1107462881 + ... + 1107474719.

It is an arithmetic number, because the mean of its divisors is an integer number (139779402752).

Almost surely, 2^{13111323123200} is an apocalyptic number.

13111323123200 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 13111323123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16773528330240).

13111323123200 is an abundant number, since it is smaller than the sum of its proper divisors (20435733537280).

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

13111323123200 is a wasteful number, since it uses less digits than its factorization.

13111323123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689 (or 14668 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13111323123200 its reverse (232132311131), we get a palindrome (13343455434331).

The spelling of 13111323123200 in words is "thirteen trillion, one hundred eleven billion, three hundred twenty-three million, one hundred twenty-three thousand, two hundred".