1311011320 has 64 divisors (see below), whose sum is σ = 3010867200. Its totient is φ = 513651840.

The previous prime is 1311011291. The next prime is 1311011353. The reversal of 1311011320 is 231101131.

It is a self number, because there is not a number n which added to its sum of digits gives 1311011320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412377 + ... + 415543.

It is an arithmetic number, because the mean of its divisors is an integer number (47044800).

Almost surely, 2^1311011320 is an apocalyptic number.

1311011320 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 1311011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505433600).

1311011320 is an abundant number, since it is smaller than the sum of its proper divisors (1699855880).

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

1311011320 is a wasteful number, since it uses less digits than its factorization.

1311011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1311011320 is about 36207.8903003199. The cubic root of 1311011320 is about 1094.4656789999.

Adding to 1311011320 its reverse (231101131), we get a palindrome (1542112451).

The spelling of 1311011320 in words is "one billion, three hundred eleven million, eleven thousand, three hundred twenty".