1313040016 has 40 divisors (see below), whose sum is σ = 2766485880. Its totient is φ = 601196544.

The previous prime is 1313040007. The next prime is 1313040037. The reversal of 1313040016 is 6100403131.

It can be written as a sum of positive squares in 4 ways, for example, as 665846416 + 647193600 = 25804^2 + 25440^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1313039975 and 1313040002.

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 7 ways as a sum of consecutive naturals, for example, 55171 + ... + 75298.

It is an arithmetic number, because the mean of its divisors is an integer number (69162147).

Almost surely, 2^1313040016 is an apocalyptic number.

1313040016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1313040016 is an abundant number, since it is smaller than the sum of its proper divisors (1453445864).

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

1313040016 is a wasteful number, since it uses less digits than its factorization.

1313040016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130531 (or 130525 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1313040016 is about 36235.8940278835. The cubic root of 1313040016 is about 1095.0299237738.

Adding to 1313040016 its reverse (6100403131), we get a palindrome (7413443147).

The spelling of 1313040016 in words is "one billion, three hundred thirteen million, forty thousand, sixteen".