1313413140 has 96 divisors (see below), whose sum is σ = 4035298176. Its totient is φ = 317191680.

The previous prime is 1313413121. The next prime is 1313413141. The reversal of 1313413140 is 413143131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313413141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25455 + ... + 57225.

It is an arithmetic number, because the mean of its divisors is an integer number (42034356).

Almost surely, 2^1313413140 is an apocalyptic number.

1313413140 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 1313413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017649088).

1313413140 is an abundant number, since it is smaller than the sum of its proper divisors (2721885036).

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

1313413140 is a wasteful number, since it uses less digits than its factorization.

1313413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31849 (or 31847 counting only the distinct ones).

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

The square root of 1313413140 is about 36241.0422035570. The cubic root of 1313413140 is about 1095.1336381172.

Adding to 1313413140 its reverse (413143131), we get a palindrome (1726556271).

The spelling of 1313413140 in words is "one billion, three hundred thirteen million, four hundred thirteen thousand, one hundred forty".