11115134563201 has 16 divisors (see below), whose sum is σ = 11412150583680. Its totient is φ = 10822675368960.

The previous prime is 11115134563193. The next prime is 11115134563241. The reversal of 11115134563201 is 10236543151111.

It is a happy number.

11115134563201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11115134563201 - 2³ = 11115134563193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11115134563241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36705 + ... + 4715041.

It is an arithmetic number, because the mean of its divisors is an integer number (713259411480).

Almost surely, 2^{11115134563201} is an apocalyptic number.

It is an amenable number.

11115134563201 is a deficient number, since it is larger than the sum of its proper divisors (297016020479).

11115134563201 is a wasteful number, since it uses less digits than its factorization.

11115134563201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4678824.

The product of its (nonzero) digits is 10800, while the sum is 34.

The spelling of 11115134563201 in words is "eleven trillion, one hundred fifteen billion, one hundred thirty-four million, five hundred sixty-three thousand, two hundred one".