1313134340 has 96 divisors (see below), whose sum is σ = 3264979200. Its totient is φ = 443342592.

The previous prime is 1313134337. The next prime is 1313134343. The reversal of 1313134340 is 434313131.

It is an interprime number because it is at equal distance from previous prime (1313134337) and next prime (1313134343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313134343) 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 31 ways as a sum of consecutive naturals, for example, 458192 + ... + 461048.

It is an arithmetic number, because the mean of its divisors is an integer number (34010200).

Almost surely, 2^1313134340 is an apocalyptic number.

1313134340 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 1313134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632489600).

1313134340 is an abundant number, since it is smaller than the sum of its proper divisors (1951844860).

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

1313134340 is a wasteful number, since it uses less digits than its factorization.

1313134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2954 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 1313134340 is about 36237.1955316633. The cubic root of 1313134340 is about 1095.0561441296.

Adding to 1313134340 its reverse (434313131), we get a palindrome (1747447471).

The spelling of 1313134340 in words is "one billion, three hundred thirteen million, one hundred thirty-four thousand, three hundred forty".