13142225011104 has 432 divisors, whose sum is σ = 45776236877280. Its totient is φ = 3556273351680.

The previous prime is 13142225011087. The next prime is 13142225011151. The reversal of 13142225011104 is 40111052224131.

13142225011104 is a `hidden beast` number, since 1 + 3 + 1 + 42 + 2 + 2 + 501 + 110 + 4 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1708775899 + ... + 1708783589.

It is an arithmetic number, because the mean of its divisors is an integer number (105963511290).

Almost surely, 2^{13142225011104} is an apocalyptic number.

13142225011104 is a gapful number since it is divisible by the number (14) 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 13142225011104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22888118438640).

13142225011104 is an abundant number, since it is smaller than the sum of its proper divisors (32634011866176).

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

13142225011104 is a wasteful number, since it uses less digits than its factorization.

13142225011104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14113 (or 14095 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 13142225011104 its reverse (40111052224131), we get a palindrome (53253277235235).

The spelling of 13142225011104 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-five million, eleven thousand, one hundred four".