13141121330400 has 1728 divisors, whose sum is σ = 52572466146816. Its totient is φ = 2839560192000.

The previous prime is 13141121330399. The next prime is 13141121330471. The reversal of 13141121330400 is 403312114131.

It is a happy number.

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 287 ways as a sum of consecutive naturals, for example, 49966240669 + ... + 49966240931.

It is an arithmetic number, because the mean of its divisors is an integer number (30423880872).

Almost surely, 2^{13141121330400} is an apocalyptic number.

13141121330400 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 13141121330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26286233073408).

13141121330400 is an abundant number, since it is smaller than the sum of its proper divisors (39431344816416).

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

13141121330400 is a wasteful number, since it uses less digits than its factorization.

13141121330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 13141121330400 its reverse (403312114131), we get a palindrome (13544433444531).

The spelling of 13141121330400 in words is "thirteen trillion, one hundred forty-one billion, one hundred twenty-one million, three hundred thirty thousand, four hundred".