13005132 has 24 divisors (see below), whose sum is σ = 34680576. Its totient is φ = 3715728.

The previous prime is 13005131. The next prime is 13005133. The reversal of 13005132 is 23150031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13005131) and next prime (13005133).

It is not an unprimeable number, because it can be changed into a prime (13005131) by changing a digit.

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, 77328 + ... + 77495.

It is an arithmetic number, because the mean of its divisors is an integer number (1445024).

Almost surely, 2^13005132 is an apocalyptic number.

13005132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005132 is an abundant number, since it is smaller than the sum of its proper divisors (21675444).

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

13005132 is a wasteful number, since it uses less digits than its factorization.

13005132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154837 (or 154835 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13005132 is about 3606.2628855922. The cubic root of 13005132 is about 235.1644058543.

Adding to 13005132 its reverse (23150031), we get a palindrome (36155163).

The spelling of 13005132 in words is "thirteen million, five thousand, one hundred thirty-two".