13141121400 has 384 divisors, whose sum is σ = 49673606400. Its totient is φ = 3166732800.

The previous prime is 13141121387. The next prime is 13141121417. The reversal of 13141121400 is 412114131.

13141121400 is a `hidden beast` number, since 1 + 3 + 141 + 121 + 400 = 666.

13141121400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11701239 + ... + 11702361.

It is an arithmetic number, because the mean of its divisors is an integer number (129358350).

Almost surely, 2^13141121400 is an apocalyptic number.

13141121400 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 13141121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24836803200).

13141121400 is an abundant number, since it is smaller than the sum of its proper divisors (36532485000).

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

13141121400 is a wasteful number, since it uses less digits than its factorization.

13141121400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13141121400 its reverse (412114131), we get a palindrome (13553235531).

The spelling of 13141121400 in words is "thirteen billion, one hundred forty-one million, one hundred twenty-one thousand, four hundred".