1314311340 has 96 divisors (see below), whose sum is σ = 3887364096. Its totient is φ = 331269120.

The previous prime is 1314311311. The next prime is 1314311347. The reversal of 1314311340 is 431134131.

1314311340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1314311347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71764 + ... + 88196.

It is an arithmetic number, because the mean of its divisors is an integer number (40493376).

Almost surely, 2^1314311340 is an apocalyptic number.

1314311340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943682048).

1314311340 is an abundant number, since it is smaller than the sum of its proper divisors (2573052756).

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

1314311340 is a wasteful number, since it uses less digits than its factorization.

1314311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16519 (or 16517 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1314311340 is about 36253.4321133876. The cubic root of 1314311340 is about 1095.3832231768.

Adding to 1314311340 its reverse (431134131), we get a palindrome (1745445471).

The spelling of 1314311340 in words is "one billion, three hundred fourteen million, three hundred eleven thousand, three hundred forty".