13313664 has 192 divisors, whose sum is σ = 47523840. Its totient is φ = 3483648.

The previous prime is 13313647. The next prime is 13313681. The reversal of 13313664 is 46631331.

It is an interprime number because it is at equal distance from previous prime (13313647) and next prime (13313681).

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104769 + ... + 104895.

It is an arithmetic number, because the mean of its divisors is an integer number (247520).

Almost surely, 2^13313664 is an apocalyptic number.

13313664 is a gapful number since it is divisible by the number (14) 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 13313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23761920).

13313664 is an abundant number, since it is smaller than the sum of its proper divisors (34210176).

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

13313664 is a wasteful number, since it uses less digits than its factorization.

13313664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 152 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 13313664 is about 3648.7893882766. The cubic root of 13313664 is about 237.0095600481.

Adding to 13313664 its reverse (46631331), we get a palindrome (59944995).

It can be divided in two parts, 1331 and 3664, that multiplied together give a palindrome (4876784).

The spelling of 13313664 in words is "thirteen million, three hundred thirteen thousand, six hundred sixty-four".