1131120211311 has 24 divisors (see below), whose sum is σ = 1635059986560. Its totient is φ = 753517444416.

The previous prime is 1131120211307. The next prime is 1131120211349.

1131120211311 is a `hidden beast` number, since 1 + 1 + 311 + 20 + 21 + 1 + 311 = 666.

1131120211311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131120211311 - 2² = 1131120211307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131120211811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87278050 + ... + 87291008.

It is an arithmetic number, because the mean of its divisors is an integer number (68127499440).

Almost surely, 2^{1131120211311} is an apocalyptic number.

1131120211311 is a deficient number, since it is larger than the sum of its proper divisors (503939775249).

1131120211311 is a wasteful number, since it uses less digits than its factorization.

1131120211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19455 (or 19452 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, 1131120 and 211311, that added together give a palindrome (1342431).

The spelling of 1131120211311 in words is "one trillion, one hundred thirty-one billion, one hundred twenty million, two hundred eleven thousand, three hundred eleven".