1311085116 has 144 divisors (see below), whose sum is σ = 3830561280. Its totient is φ = 388696320.

The previous prime is 1311085109. The next prime is 1311085117. The reversal of 1311085116 is 6115801131.

It is a happy number.

1311085116 is a `hidden beast` number, since 131 + 10 + 8 + 511 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1311085116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311085117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501220 + ... + 503828.

It is an arithmetic number, because the mean of its divisors is an integer number (26601120).

Almost surely, 2^1311085116 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 1311085116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915280640).

1311085116 is an abundant number, since it is smaller than the sum of its proper divisors (2519476164).

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

1311085116 is a wasteful number, since it uses less digits than its factorization.

1311085116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2686 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1311085116 is about 36208.9093456293. The cubic root of 1311085116 is about 1094.4862142088.

Adding to 1311085116 its reverse (6115801131), we get a palindrome (7426886247).

The spelling of 1311085116 in words is "one billion, three hundred eleven million, eighty-five thousand, one hundred sixteen".