1310311314 has 48 divisors (see below), whose sum is σ = 3064333272. Its totient is φ = 402257664.

The previous prime is 1310311313. The next prime is 1310311337. The reversal of 1310311314 is 4131130131.

It can be written as a sum of positive squares in 4 ways, for example, as 1121111289 + 189200025 = 33483^2 + 13755^2 .

It is a super-3 number, since 3×1310311314³ (a number of 28 digits) contains 333 as substring.

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 (1310311313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100812 + ... + 113064.

Almost surely, 2^1310311314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1310311314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532166636).

1310311314 is an abundant number, since it is smaller than the sum of its proper divisors (1754021958).

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

1310311314 is a wasteful number, since it uses less digits than its factorization.

1310311314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12731 (or 12728 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1310311314 is about 36198.2225254224. Note that the first 3 decimals coincide. The cubic root of 1310311314 is about 1094.2708500339.

Adding to 1310311314 its reverse (4131130131), we get a palindrome (5441441445).

The spelling of 1310311314 in words is "one billion, three hundred ten million, three hundred eleven thousand, three hundred fourteen".