1313702416 has 60 divisors (see below), whose sum is σ = 2769325356. Its totient is φ = 600134400.

The previous prime is 1313702413. The next prime is 1313702419. The reversal of 1313702416 is 6142073131.

It is an interprime number because it is at equal distance from previous prime (1313702413) and next prime (1313702419).

It can be written as a sum of positive squares in 2 ways, for example, as 210134016 + 1103568400 = 14496^2 + 33220^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313702413) 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 11 ways as a sum of consecutive naturals, for example, 4742470 + ... + 4742746.

Almost surely, 2^1313702416 is an apocalyptic number.

1313702416 is a gapful number since it is divisible by the number (16) 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 1313702416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384662678).

1313702416 is an abundant number, since it is smaller than the sum of its proper divisors (1455622940).

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

1313702416 is a wasteful number, since it uses less digits than its factorization.

1313702416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1313702416 is about 36245.0329838448. The cubic root of 1313702416 is about 1095.2140323749.

Adding to 1313702416 its reverse (6142073131), we get a palindrome (7455775547).

The spelling of 1313702416 in words is "one billion, three hundred thirteen million, seven hundred two thousand, four hundred sixteen".