11006634310011 has 16 divisors (see below), whose sum is σ = 16345041686400. Its totient is φ = 7320243654504.

The previous prime is 11006634309971. The next prime is 11006634310057. The reversal of 11006634310011 is 11001343660011.

11006634310011 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 634 + 3 + 10 + 0 + 11 = 666.

11006634310011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11006634310011 - 2⁹ = 11006634309499 is a prime.

It is a super-2 number, since 2×11006634310011² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11006634318011) 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, 486448261 + ... + 486470886.

It is an arithmetic number, because the mean of its divisors is an integer number (1021565105400).

Almost surely, 2^{11006634310011} is an apocalyptic number.

11006634310011 is a deficient number, since it is larger than the sum of its proper divisors (5338407376389).

11006634310011 is an equidigital number, since it uses as much as digits as its factorization.

11006634310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972919575 (or 972919569 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 11006634310011 its reverse (11001343660011), we get a palindrome (22007977970022).

The spelling of 11006634310011 in words is "eleven trillion, six billion, six hundred thirty-four million, three hundred ten thousand, eleven".