11311200211311 has 288 divisors, whose sum is σ = 22678311591936. Its totient is φ = 5339670336000.

The previous prime is 11311200211273. The next prime is 11311200211331.

11311200211311 is a `hidden beast` number, since 1 + 1 + 311 + 20 + 0 + 21 + 1 + 311 = 666.

11311200211311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11311200211311 - 2⁶ = 11311200211247 is a prime.

It is a super-2 number, since 2×11311200211311² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311200211331) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1049173741 + ... + 1049184521.

It is an arithmetic number, because the mean of its divisors is an integer number (78744137472).

Almost surely, 2^{11311200211311} is an apocalyptic number.

11311200211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11311200211311 is an abundant number, since it is smaller than the sum of its proper divisors (11367111380625).

11311200211311 is a wasteful number, since it uses less digits than its factorization.

11311200211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

It can be divided in two parts, 11311200 and 211311, that added together give a palindrome (11522511).

The spelling of 11311200211311 in words is "eleven trillion, three hundred eleven billion, two hundred million, two hundred eleven thousand, three hundred eleven".