13381536 has 48 divisors (see below), whose sum is σ = 40146624. Its totient is φ = 3823104.

The previous prime is 13381523. The next prime is 13381549. The reversal of 13381536 is 63518331.

It is an interprime number because it is at equal distance from previous prime (13381523) and next prime (13381549).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 9285 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (836388).

Almost surely, 2^13381536 is an apocalyptic number.

13381536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13381536 is an abundant number, since it is smaller than the sum of its proper divisors (26765088).

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

13381536 is a wasteful number, since it uses less digits than its factorization.

13381536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19933 (or 19925 counting only the distinct ones).

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

The square root of 13381536 is about 3658.0781839649. The cubic root of 13381536 is about 237.4116295419.

Adding to 13381536 its reverse (63518331), we get a palindrome (76899867).

The spelling of 13381536 in words is "thirteen million, three hundred eighty-one thousand, five hundred thirty-six".