1310311312 has 40 divisors (see below), whose sum is σ = 2694303000. Its totient is φ = 615186432.

The previous prime is 1310311273. The next prime is 1310311313. The reversal of 1310311312 is 2131130131.

It can be written as a sum of positive squares in 4 ways, for example, as 576768256 + 733543056 = 24016^2 + 27084^2 .

It is a super-2 number, since 2×1310311312² = 3433831468710322688, which contains 22 as substring.

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 (1310311313) 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 7 ways as a sum of consecutive naturals, for example, 116764 + ... + 127492.

It is an arithmetic number, because the mean of its divisors is an integer number (67357575).

Almost surely, 2^1310311312 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 1310311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347151500).

1310311312 is an abundant number, since it is smaller than the sum of its proper divisors (1383991688).

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

1310311312 is a wasteful number, since it uses less digits than its factorization.

1310311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11197 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1310311312 is about 36198.2224977968. Note that the first 3 decimals coincide. The cubic root of 1310311312 is about 1094.2708494771.

Adding to 1310311312 its reverse (2131130131), we get a palindrome (3441441443).

The spelling of 1310311312 in words is "one billion, three hundred ten million, three hundred eleven thousand, three hundred twelve".