1313104352016 has 80 divisors (see below), whose sum is σ = 3485478413120. Its totient is φ = 425748234240.

The previous prime is 1313104351997. The next prime is 1313104352017. The reversal of 1313104352016 is 6102534013131.

It is a super-3 number, since 3×1313104352016³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1313104352017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822481 + ... + 1817328.

It is an arithmetic number, because the mean of its divisors is an integer number (43568480164).

Almost surely, 2^{1313104352016} is an apocalyptic number.

1313104352016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1313104352016 is an abundant number, since it is smaller than the sum of its proper divisors (2172374061104).

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

1313104352016 is a wasteful number, since it uses less digits than its factorization.

1313104352016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640104 (or 2640098 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 1313104352016 its reverse (6102534013131), we get a palindrome (7415638365147).

The spelling of 1313104352016 in words is "one trillion, three hundred thirteen billion, one hundred four million, three hundred fifty-two thousand, sixteen".