1311006112 has 72 divisors (see below), whose sum is σ = 2821075236. Its totient is φ = 596133888.

The previous prime is 1311006107. The next prime is 1311006113. The reversal of 1311006112 is 2116001131.

It can be written as a sum of positive squares in 2 ways, for example, as 985708816 + 325297296 = 31396^2 + 18036^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1311006113) 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 11 ways as a sum of consecutive naturals, for example, 7850253 + ... + 7850419.

Almost surely, 2^1311006112 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 1311006112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410537618).

1311006112 is an abundant number, since it is smaller than the sum of its proper divisors (1510069124).

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

1311006112 is a wasteful number, since it uses less digits than its factorization.

1311006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 1311006112 is about 36207.8183822224. The cubic root of 1311006112 is about 1094.4642297409.

Adding to 1311006112 its reverse (2116001131), we get a palindrome (3427007243).

The spelling of 1311006112 in words is "one billion, three hundred eleven million, six thousand, one hundred twelve".