13114034300400 has 480 divisors, whose sum is σ = 48262287206400. Its totient is φ = 3010417228800.

The previous prime is 13114034300387. The next prime is 13114034300417. The reversal of 13114034300400 is 400343041131.

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 95 ways as a sum of consecutive naturals, for example, 588616461 + ... + 588638739.

It is an arithmetic number, because the mean of its divisors is an integer number (100546431680).

Almost surely, 2^{13114034300400} is an apocalyptic number.

13114034300400 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 13114034300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131143603200).

13114034300400 is an abundant number, since it is smaller than the sum of its proper divisors (35148252906000).

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

13114034300400 is a wasteful number, since it uses less digits than its factorization.

13114034300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24677 (or 24666 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13114034300400 its reverse (400343041131), we get a palindrome (13514377341531).

The spelling of 13114034300400 in words is "thirteen trillion, one hundred fourteen billion, thirty-four million, three hundred thousand, four hundred".