13114430124400 has 120 divisors (see below), whose sum is σ = 34432142965200. Its totient is φ = 4760501606400.

The previous prime is 13114430124373. The next prime is 13114430124463. The reversal of 13114430124400 is 442103441131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115515 + ... + 5122714.

It is an arithmetic number, because the mean of its divisors is an integer number (286934524710).

Almost surely, 2^{13114430124400} is an apocalyptic number.

13114430124400 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 13114430124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216071482600).

13114430124400 is an abundant number, since it is smaller than the sum of its proper divisors (21317712840800).

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

13114430124400 is a wasteful number, since it uses less digits than its factorization.

13114430124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238827 (or 5238816 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13114430124400 its reverse (442103441131), we get a palindrome (13556533565531).

The spelling of 13114430124400 in words is "thirteen trillion, one hundred fourteen billion, four hundred thirty million, one hundred twenty-four thousand, four hundred".