1311331120 has 160 divisors (see below), whose sum is σ = 3418977600. Its totient is φ = 463749120.

The previous prime is 1311331111. The next prime is 1311331123. The reversal of 1311331120 is 211331131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1311331094 and 1311331103.

It is not an unprimeable number, because it can be changed into a prime (1311331123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8800806 + ... + 8800954.

It is an arithmetic number, because the mean of its divisors is an integer number (21368610).

Almost surely, 2^1311331120 is an apocalyptic number.

1311331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709488800).

1311331120 is an abundant number, since it is smaller than the sum of its proper divisors (2107646480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311331120 is a wasteful number, since it uses less digits than its factorization.

1311331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1311331120 is about 36212.3061955463. The cubic root of 1311331120 is about 1094.5546641630.

Adding to 1311331120 its reverse (211331131), we get a palindrome (1522662251).

The spelling of 1311331120 in words is "one billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twenty".