11513204435142 has 24 divisors (see below), whose sum is σ = 25089468631344. Its totient is φ = 3815551372464.

The previous prime is 11513204435017. The next prime is 11513204435147. The reversal of 11513204435142 is 24153440231511.

11513204435142 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 204 + 435 + 14 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11513204435097 and 11513204435106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513204435147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1848616738 + ... + 1848622965.

It is an arithmetic number, because the mean of its divisors is an integer number (1045394526306).

Almost surely, 2^{11513204435142} is an apocalyptic number.

11513204435142 is an abundant number, since it is smaller than the sum of its proper divisors (13576264196202).

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

11513204435142 is a wasteful number, since it uses less digits than its factorization.

11513204435142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697239884 (or 3697239881 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 11513204435142 its reverse (24153440231511), we get a palindrome (35666644666653).

The spelling of 11513204435142 in words is "eleven trillion, five hundred thirteen billion, two hundred four million, four hundred thirty-five thousand, one hundred forty-two".