11211133311114 has 128 divisors (see below), whose sum is σ = 24969698979840. Its totient is φ = 3327112800000.

The previous prime is 11211133311083. The next prime is 11211133311127. The reversal of 11211133311114 is 41111333111211.

It is a super-2 number, since 2×11211133311114² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3087614079 + ... + 3087617709.

It is an arithmetic number, because the mean of its divisors is an integer number (195075773280).

Almost surely, 2^{11211133311114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11211133311114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484849489920).

11211133311114 is an abundant number, since it is smaller than the sum of its proper divisors (13758565668726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11211133311114 is a wasteful number, since it uses less digits than its factorization.

11211133311114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6828.

The product of its digits is 216, while the sum is 24.

Adding to 11211133311114 its reverse (41111333111211), we get a palindrome (52322466422325).

The spelling of 11211133311114 in words is "eleven trillion, two hundred eleven billion, one hundred thirty-three million, three hundred eleven thousand, one hundred fourteen".