1121131311311 has 16 divisors (see below), whose sum is σ = 1230943253760. Its totient is φ = 1012654984320.

The previous prime is 1121131311263. The next prime is 1121131311323. The reversal of 1121131311311 is 1131131311211.

It is a cyclic number.

It is not a de Polignac number, because 1121131311311 - 2³⁴ = 1103951442127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121131311211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585191 + ... + 1607703.

It is an arithmetic number, because the mean of its divisors is an integer number (76933953360).

Almost surely, 2^{1121131311311} is an apocalyptic number.

1121131311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121131311311 is a deficient number, since it is larger than the sum of its proper divisors (109811942449).

1121131311311 is a wasteful number, since it uses less digits than its factorization.

1121131311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023166.

The product of its digits is 54, while the sum is 20.

Adding to 1121131311311 its reverse (1131131311211), we get a palindrome (2252262622522).

The spelling of 1121131311311 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred eleven thousand, three hundred eleven".