14113100253120 has 448 divisors, whose sum is σ = 49638431356416. Its totient is φ = 3368513617920.

The previous prime is 14113100253103. The next prime is 14113100253139. The reversal of 14113100253120 is 2135200131141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752523014 + ... + 1752531066.

It is an arithmetic number, because the mean of its divisors is an integer number (110800069992).

Almost surely, 2^{14113100253120} is an apocalyptic number.

14113100253120 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 14113100253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24819215678208).

14113100253120 is an abundant number, since it is smaller than the sum of its proper divisors (35525331103296).

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

14113100253120 is a wasteful number, since it uses less digits than its factorization.

14113100253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 14113100253120 its reverse (2135200131141), we get a palindrome (16248300384261).

The spelling of 14113100253120 in words is "fourteen trillion, one hundred thirteen billion, one hundred million, two hundred fifty-three thousand, one hundred twenty".