1131164611311 has 48 divisors (see below), whose sum is σ = 1910647125504. Its totient is φ = 581907042816.

The previous prime is 1131164611307. The next prime is 1131164611361.

1131164611311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1131164611311 - 2² = 1131164611307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131164611361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3912240 + ... + 4191413.

It is an arithmetic number, because the mean of its divisors is an integer number (39805148448).

Almost surely, 2^{1131164611311} is an apocalyptic number.

1131164611311 is a deficient number, since it is larger than the sum of its proper divisors (779482514193).

1131164611311 is a wasteful number, since it uses less digits than its factorization.

1131164611311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8103720 (or 8103703 counting only the distinct ones).

The product of its digits is 1296, while the sum is 30.

The spelling of 1131164611311 in words is "one trillion, one hundred thirty-one billion, one hundred sixty-four million, six hundred eleven thousand, three hundred eleven".