11045665213011 has 128 divisors (see below), whose sum is σ = 19633332096000. Its totient is φ = 6049448064000.

The previous prime is 11045665213001. The next prime is 11045665213019. The reversal of 11045665213011 is 11031256654011.

11045665213011 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 566 + 52 + 1 + 30 + 11 = 666.

It is not a de Polignac number, because 11045665213011 - 2⁵ = 11045665212979 is a prime.

It is a super-2 number, since 2×11045665213011² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11045665213019) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34547400 + ... + 34865658.

It is an arithmetic number, because the mean of its divisors is an integer number (153385407000).

Almost surely, 2^{11045665213011} is an apocalyptic number.

11045665213011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11045665213011 is a deficient number, since it is larger than the sum of its proper divisors (8587666882989).

11045665213011 is a wasteful number, since it uses less digits than its factorization.

11045665213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318482 (or 318476 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 11045665213011 in words is "eleven trillion, forty-five billion, six hundred sixty-five million, two hundred thirteen thousand, eleven".