1313312440 has 128 divisors (see below), whose sum is σ = 3312576000. Its totient is φ = 464555520.

The previous prime is 1313312437. The next prime is 1313312453. The reversal of 1313312440 is 442133131.

1313312440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640539 + ... + 4640821.

It is an arithmetic number, because the mean of its divisors is an integer number (25879500).

Almost surely, 2^1313312440 is an apocalyptic number.

1313312440 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 1313312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656288000).

1313312440 is an abundant number, since it is smaller than the sum of its proper divisors (1999263560).

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

1313312440 is a wasteful number, since it uses less digits than its factorization.

1313312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 1313312440 is about 36239.6528680946. The cubic root of 1313312440 is about 1095.1056492657.

Adding to 1313312440 its reverse (442133131), we get a palindrome (1755445571).

The spelling of 1313312440 in words is "one billion, three hundred thirteen million, three hundred twelve thousand, four hundred forty".