13319040 has 128 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 3041280.

The previous prime is 13319029. The next prime is 13319051. The reversal of 13319040 is 4091331.

It is an interprime number because it is at equal distance from previous prime (13319029) and next prime (13319051).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 13318998 and 13319016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12945 + ... + 13935.

It is an arithmetic number, because the mean of its divisors is an integer number (379440).

Almost surely, 2^13319040 is an apocalyptic number.

13319040 is a gapful number since it is divisible by the number (10) 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 13319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

13319040 is an abundant number, since it is smaller than the sum of its proper divisors (35249280).

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

13319040 is an equidigital number, since it uses as much as digits as its factorization.

13319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13319040 is about 3649.5259966193. The cubic root of 13319040 is about 237.0414569006.

The spelling of 13319040 in words is "thirteen million, three hundred nineteen thousand, forty".