13354225514100 has 216 divisors, whose sum is σ = 44323417494720. Its totient is φ = 3351414359040.

The previous prime is 13354225514093. The next prime is 13354225514141. The reversal of 13354225514100 is 141552245331.

13354225514100 is a `hidden beast` number, since 1 + 3 + 3 + 542 + 2 + 5 + 5 + 1 + 4 + 100 = 666.

13354225514100 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 349723609 + ... + 349761791.

It is an arithmetic number, because the mean of its divisors is an integer number (205201006920).

Almost surely, 2^{13354225514100} is an apocalyptic number.

13354225514100 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 13354225514100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161708747360).

13354225514100 is an abundant number, since it is smaller than the sum of its proper divisors (30969191980620).

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

13354225514100 is a wasteful number, since it uses less digits than its factorization.

13354225514100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61079 (or 61069 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 13354225514100 its reverse (141552245331), we get a palindrome (13495777759431).

The spelling of 13354225514100 in words is "thirteen trillion, three hundred fifty-four billion, two hundred twenty-five million, five hundred fourteen thousand, one hundred".