113041114400214 has 384 divisors, whose sum is σ = 335059791446016. Its totient is φ = 26594332128000.

The previous prime is 113041114400213. The next prime is 113041114400219. The reversal of 113041114400214 is 412004411140311.

113041114400214 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 4 + 1 + 1 + 1 + 440 + 0 + 214 = 666.

It is a super-3 number, since 3×113041114400214³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113041114400213) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 269718267 + ... + 270137049.

It is an arithmetic number, because the mean of its divisors is an integer number (872551540224).

Almost surely, 2^{113041114400214} is an apocalyptic number.

113041114400214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113041114400214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167529895723008).

113041114400214 is an abundant number, since it is smaller than the sum of its proper divisors (222018677045802).

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

113041114400214 is a wasteful number, since it uses less digits than its factorization.

113041114400214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419104 (or 419101 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 113041114400214 its reverse (412004411140311), we get a palindrome (525045525540525).

The spelling of 113041114400214 in words is "one hundred thirteen trillion, forty-one billion, one hundred fourteen million, four hundred thousand, two hundred fourteen".