13524005100114 has 16 divisors (see below), whose sum is σ = 30053344667040. Its totient is φ = 4508001700020.

The previous prime is 13524005100113. The next prime is 13524005100169. The reversal of 13524005100114 is 41100150042531.

13524005100114 is a `hidden beast` number, since 1 + 35 + 2 + 4 + 0 + 0 + 510 + 0 + 114 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13524005100113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125222269392 + ... + 125222269499.

It is an arithmetic number, because the mean of its divisors is an integer number (1878334041690).

Almost surely, 2^{13524005100114} is an apocalyptic number.

13524005100114 is an abundant number, since it is smaller than the sum of its proper divisors (16529339566926).

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

13524005100114 is a wasteful number, since it uses less digits than its factorization.

13524005100114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250444538902 (or 250444538896 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 13524005100114 its reverse (41100150042531), we get a palindrome (54624155142645).

The spelling of 13524005100114 in words is "thirteen trillion, five hundred twenty-four billion, five million, one hundred thousand, one hundred fourteen".