1311110320311 has 32 divisors (see below), whose sum is σ = 2131966045440. Its totient is φ = 789737364000.

The previous prime is 1311110320309. The next prime is 1311110320363. The reversal of 1311110320311 is 1130230111131.

1311110320311 is a `hidden beast` number, since 1 + 31 + 1 + 1 + 1 + 0 + 320 + 311 = 666.

It is not a de Polignac number, because 1311110320311 - 2¹ = 1311110320309 is a prime.

It is a super-3 number, since 3×1311110320311³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311110320301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13493040 + ... + 13589861.

It is an arithmetic number, because the mean of its divisors is an integer number (66623938920).

Almost surely, 2^{1311110320311} is an apocalyptic number.

1311110320311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1311110320311 is a deficient number, since it is larger than the sum of its proper divisors (820855725129).

1311110320311 is a wasteful number, since it uses less digits than its factorization.

1311110320311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27083084 (or 27083078 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1311110320311 its reverse (1130230111131), we get a palindrome (2441340431442).

The spelling of 1311110320311 in words is "one trillion, three hundred eleven billion, one hundred ten million, three hundred twenty thousand, three hundred eleven".