14013124401312 has 192 divisors, whose sum is σ = 41833750210560. Its totient is φ = 4561143374592.

The previous prime is 14013124401271. The next prime is 14013124401349. The reversal of 14013124401312 is 21310442131041.

It is a happy number.

14013124401312 is a `hidden beast` number, since 1 + 401 + 3 + 1 + 244 + 0 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 138414903 + ... + 138516105.

It is an arithmetic number, because the mean of its divisors is an integer number (217884115680).

Almost surely, 2^{14013124401312} is an apocalyptic number.

14013124401312 is a gapful number since it is divisible by the number (12) 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 14013124401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20916875105280).

14013124401312 is an abundant number, since it is smaller than the sum of its proper divisors (27820625809248).

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

14013124401312 is a wasteful number, since it uses less digits than its factorization.

14013124401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104992 (or 104978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14013124401312 its reverse (21310442131041), we get a palindrome (35323566532353).

The spelling of 14013124401312 in words is "fourteen trillion, thirteen billion, one hundred twenty-four million, four hundred one thousand, three hundred twelve".