1311312144 has 40 divisors (see below), whose sum is σ = 3395025760. Its totient is φ = 436140288.

The previous prime is 1311312139. The next prime is 1311312193. The reversal of 1311312144 is 4412131131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1311312144.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7954 + ... + 51825.

It is an arithmetic number, because the mean of its divisors is an integer number (84875644).

Almost surely, 2^1311312144 is an apocalyptic number.

It is an amenable number.

1311312144 is an abundant number, since it is smaller than the sum of its proper divisors (2083713616).

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

1311312144 is a wasteful number, since it uses less digits than its factorization.

1311312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60247 (or 60241 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 1311312144 is about 36212.0441842214. The cubic root of 1311312144 is about 1094.5493844465.

Adding to 1311312144 its reverse (4412131131), we get a palindrome (5723443275).

The spelling of 1311312144 in words is "one billion, three hundred eleven million, three hundred twelve thousand, one hundred forty-four".