13331136 has 168 divisors, whose sum is σ = 44592240. Its totient is φ = 3483648.

The previous prime is 13331119. The next prime is 13331167. The reversal of 13331136 is 63113331.

It is a tau number, because it is divible by the number of its divisors (168).

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

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

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 23 ways as a sum of consecutive naturals, for example, 122250 + ... + 122358.

It is an arithmetic number, because the mean of its divisors is an integer number (265430).

Almost surely, 2^13331136 is an apocalyptic number.

13331136 is a gapful number since it is divisible by the number (16) 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 13331136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22296120).

13331136 is an abundant number, since it is smaller than the sum of its proper divisors (31261104).

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

13331136 is a wasteful number, since it uses less digits than its factorization.

13331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 13331136 is about 3651.1828220455. The cubic root of 13331136 is about 237.1131934500.

Adding to 13331136 its reverse (63113331), we get a palindrome (76444467).

The spelling of 13331136 in words is "thirteen million, three hundred thirty-one thousand, one hundred thirty-six".