1311101316 has 120 divisors (see below), whose sum is σ = 3971278080. Its totient is φ = 369422208.

The previous prime is 1311101299. The next prime is 1311101329. The reversal of 1311101316 is 6131011131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 161605 + ... + 169523.

It is an arithmetic number, because the mean of its divisors is an integer number (33093984).

Almost surely, 2^1311101316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311101316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985639040).

1311101316 is an abundant number, since it is smaller than the sum of its proper divisors (2660176764).

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

1311101316 is a wasteful number, since it uses less digits than its factorization.

1311101316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8015 (or 8004 counting only the distinct ones).

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

The square root of 1311101316 is about 36209.1330467881. The cubic root of 1311101316 is about 1094.4907220787.

Adding to 1311101316 its reverse (6131011131), we get a palindrome (7442112447).

The spelling of 1311101316 in words is "one billion, three hundred eleven million, one hundred one thousand, three hundred sixteen".