1320110311311 has 128 divisors (see below), whose sum is σ = 2305754035200. Its totient is φ = 737807616000.

The previous prime is 1320110311249. The next prime is 1320110311337. The reversal of 1320110311311 is 1131130110231.

1320110311311 is a `hidden beast` number, since 1 + 32 + 0 + 1 + 10 + 311 + 311 = 666.

It is not a de Polignac number, because 1320110311311 - 2¹⁰ = 1320110310287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320110311391) 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 127 ways as a sum of consecutive naturals, for example, 106652155 + ... + 106664531.

It is an arithmetic number, because the mean of its divisors is an integer number (18013703400).

Almost surely, 2^{1320110311311} is an apocalyptic number.

1320110311311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1320110311311 is a deficient number, since it is larger than the sum of its proper divisors (985643723889).

1320110311311 is a wasteful number, since it uses less digits than its factorization.

1320110311311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12918 (or 12912 counting only the distinct ones).

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

Adding to 1320110311311 its reverse (1131130110231), we get a palindrome (2451240421542).

The spelling of 1320110311311 in words is "one trillion, three hundred twenty billion, one hundred ten million, three hundred eleven thousand, three hundred eleven".