1311681312 has 72 divisors (see below), whose sum is σ = 3800517084. Its totient is φ = 428972544.

The previous prime is 1311681263. The next prime is 1311681313. The reversal of 1311681312 is 2131861131.

It can be written as a sum of positive squares in 2 ways, for example, as 1267644816 + 44036496 = 35604^2 + 6636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1311681313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27703 + ... + 58230.

Almost surely, 2^1311681312 is an apocalyptic number.

1311681312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311681312 is an abundant number, since it is smaller than the sum of its proper divisors (2488835772).

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

1311681312 is a wasteful number, since it uses less digits than its factorization.

1311681312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86002 (or 85991 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1311681312 is about 36217.1411351034. The cubic root of 1311681312 is about 1094.6520893837.

The spelling of 1311681312 in words is "one billion, three hundred eleven million, six hundred eighty-one thousand, three hundred twelve".