13114004200000 has 252 divisors, whose sum is σ = 35752659659892. Its totient is φ = 4768720000000.

The previous prime is 13114004199953. The next prime is 13114004200001. The reversal of 13114004200000 is 240041131.

It can be written as a sum of positive squares in 6 ways, for example, as 13083151980096 + 30852219904 = 3617064^2 + 175648^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13114004200001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23929050 + ... + 24470950.

It is an arithmetic number, because the mean of its divisors is an integer number (141875633571).

Almost surely, 2^{13114004200000} is an apocalyptic number.

13114004200000 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 13114004200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17876329829946).

13114004200000 is an abundant number, since it is smaller than the sum of its proper divisors (22638655459892).

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

13114004200000 is an frugal number, since it uses more digits than its factorization.

13114004200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541960 (or 541919 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13114004200000 its reverse (240041131), we get a palindrome (13114244241131).

The spelling of 13114004200000 in words is "thirteen trillion, one hundred fourteen billion, four million, two hundred thousand".