13301402114400 has 288 divisors, whose sum is σ = 43830295181568. Its totient is φ = 3503298201600.

The previous prime is 13301402114323. The next prime is 13301402114489. The reversal of 13301402114400 is 441120410331.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 909739090 + ... + 909753710.

It is an arithmetic number, because the mean of its divisors is an integer number (152188524936).

Almost surely, 2^{13301402114400} is an apocalyptic number.

13301402114400 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 13301402114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21915147590784).

13301402114400 is an abundant number, since it is smaller than the sum of its proper divisors (30528893067168).

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

13301402114400 is a wasteful number, since it uses less digits than its factorization.

13301402114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294 (or 19281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13301402114400 its reverse (441120410331), we get a palindrome (13742522524731).

The spelling of 13301402114400 in words is "thirteen trillion, three hundred one billion, four hundred two million, one hundred fourteen thousand, four hundred".