1331310312 has 24 divisors (see below), whose sum is σ = 3605632290. Its totient is φ = 443770080.

The previous prime is 1331310287. The next prime is 1331310319. The reversal of 1331310312 is 2130131331.

It is a happy number.

1331310312 is a `hidden beast` number, since 13 + 31 + 310 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1321613316 + 9696996 = 36354^2 + 3114^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (1331310319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9245139 + ... + 9245282.

Almost surely, 2^1331310312 is an apocalyptic number.

1331310312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1331310312 is an abundant number, since it is smaller than the sum of its proper divisors (2274321978).

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

1331310312 is a wasteful number, since it uses less digits than its factorization.

1331310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18490433 (or 18490426 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1331310312 is about 36487.1252909845. The cubic root of 1331310312 is about 1100.0854787569.

Adding to 1331310312 its reverse (2130131331), we get a palindrome (3461441643).

The spelling of 1331310312 in words is "one billion, three hundred thirty-one million, three hundred ten thousand, three hundred twelve".