1313780416 has 112 divisors (see below), whose sum is σ = 2888268544. Its totient is φ = 589234176.

The previous prime is 1313780407. The next prime is 1313780437. The reversal of 1313780416 is 6140873131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5891281 + ... + 5891503.

It is an arithmetic number, because the mean of its divisors is an integer number (25788112).

Almost surely, 2^1313780416 is an apocalyptic number.

1313780416 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 1313780416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444134272).

1313780416 is an abundant number, since it is smaller than the sum of its proper divisors (1574488128).

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

1313780416 is a wasteful number, since it uses less digits than its factorization.

1313780416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 1313780416 is about 36246.1089773785. The cubic root of 1313780416 is about 1095.2357077566.

The spelling of 1313780416 in words is "one billion, three hundred thirteen million, seven hundred eighty thousand, four hundred sixteen".