1313036416 has 32 divisors (see below), whose sum is σ = 2665183500. Its totient is φ = 644127744.

The previous prime is 1313036411. The next prime is 1313036419. The reversal of 1313036416 is 6146303131.

It can be written as a sum of positive squares in 2 ways, for example, as 1202702400 + 110334016 = 34680^2 + 10504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1313036411) 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 3 ways as a sum of consecutive naturals, for example, 89991 + ... + 103558.

Almost surely, 2^1313036416 is an apocalyptic number.

1313036416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1313036416 is an abundant number, since it is smaller than the sum of its proper divisors (1352147084).

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

1313036416 is an equidigital number, since it uses as much as digits as its factorization.

1313036416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193616 (or 193604 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 1313036416 is about 36235.8443533471. The cubic root of 1313036416 is about 1095.0289230144.

Adding to 1313036416 its reverse (6146303131), we get a palindrome (7459339547).

The spelling of 1313036416 in words is "one billion, three hundred thirteen million, thirty-six thousand, four hundred sixteen".