1313719680 has 512 divisors, whose sum is σ = 5275146240. Its totient is φ = 270729216.

The previous prime is 1313719657. The next prime is 1313719697. The reversal of 1313719680 is 869173131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12754509 + ... + 12754611.

It is an arithmetic number, because the mean of its divisors is an integer number (10303020).

Almost surely, 2^1313719680 is an apocalyptic number.

1313719680 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 1313719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637573120).

1313719680 is an abundant number, since it is smaller than the sum of its proper divisors (3961426560).

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

1313719680 is a wasteful number, since it uses less digits than its factorization.

1313719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 1313719680 is about 36245.2711398328. The cubic root of 1313719680 is about 1095.2188299333.

The spelling of 1313719680 in words is "one billion, three hundred thirteen million, seven hundred nineteen thousand, six hundred eighty".