13130210414400 has 336 divisors, whose sum is σ = 43195226995200. Its totient is φ = 3491877427200.

The previous prime is 13130210414359. The next prime is 13130210414423. The reversal of 13130210414400 is 441401203131.

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 47 ways as a sum of consecutive naturals, for example, 3941820735 + ... + 3941824065.

It is an arithmetic number, because the mean of its divisors is an integer number (128557223200).

Almost surely, 2^{13130210414400} is an apocalyptic number.

13130210414400 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 13130210414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21597613497600).

13130210414400 is an abundant number, since it is smaller than the sum of its proper divisors (30065016580800).

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

13130210414400 is a wasteful number, since it uses less digits than its factorization.

13130210414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5327 counting only the distinct ones).

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

Adding to 13130210414400 its reverse (441401203131), we get a palindrome (13571611617531).

The spelling of 13130210414400 in words is "thirteen trillion, one hundred thirty billion, two hundred ten million, four hundred fourteen thousand, four hundred".