1121131310311 has 16 divisors (see below), whose sum is σ = 1189606809600. Its totient is φ = 1053605151648.

The previous prime is 1121131310281. The next prime is 1121131310329. The reversal of 1121131310311 is 1130131311211.

It is a cyclic number.

It is not a de Polignac number, because 1121131310311 - 2⁹ = 1121131309799 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121131317311) 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, 18281646 + ... + 18342868.

It is an arithmetic number, because the mean of its divisors is an integer number (74350425600).

Almost surely, 2^{1121131310311} is an apocalyptic number.

1121131310311 is a deficient number, since it is larger than the sum of its proper divisors (68475499289).

1121131310311 is a wasteful number, since it uses less digits than its factorization.

1121131310311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68958.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 1121131310311 its reverse (1130131311211), we get a palindrome (2251262621522).

The spelling of 1121131310311 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-one million, three hundred ten thousand, three hundred eleven".