11513005356141 has 96 divisors (see below), whose sum is σ = 18049414602240. Its totient is φ = 7251680304000.

The previous prime is 11513005356133. The next prime is 11513005356161. The reversal of 11513005356141 is 14165350031511.

11513005356141 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 3 + 0 + 0 + 5 + 35 + 614 + 1 = 666.

It is not a de Polignac number, because 11513005356141 - 2³ = 11513005356133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11513005356096 and 11513005356105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11513005356161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 621744015 + ... + 621762531.

It is an arithmetic number, because the mean of its divisors is an integer number (188014735440).

Almost surely, 2^{11513005356141} is an apocalyptic number.

It is an amenable number.

11513005356141 is a deficient number, since it is larger than the sum of its proper divisors (6536409246099).

11513005356141 is a wasteful number, since it uses less digits than its factorization.

11513005356141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19104 (or 19075 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

Adding to 11513005356141 its reverse (14165350031511), we get a palindrome (25678355387652).

The spelling of 11513005356141 in words is "eleven trillion, five hundred thirteen billion, five million, three hundred fifty-six thousand, one hundred forty-one".