13534214111100 has 360 divisors, whose sum is σ = 44018205258720. Its totient is φ = 3597162670080.

The previous prime is 13534214111083. The next prime is 13534214111167. The reversal of 13534214111100 is 111141243531.

13534214111100 is a `hidden beast` number, since 1 + 3 + 534 + 2 + 1 + 4 + 11 + 110 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5892125152 + ... + 5892127448.

Almost surely, 2^{13534214111100} is an apocalyptic number.

13534214111100 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 13534214111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009102629360).

13534214111100 is an abundant number, since it is smaller than the sum of its proper divisors (30483991147620).

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

13534214111100 is a wasteful number, since it uses less digits than its factorization.

13534214111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4419 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 13534214111100 its reverse (111141243531), we get a palindrome (13645355354631).

The spelling of 13534214111100 in words is "thirteen trillion, five hundred thirty-four billion, two hundred fourteen million, one hundred eleven thousand, one hundred".