13033152 has 168 divisors, whose sum is σ = 43507152. Its totient is φ = 3717120.

The previous prime is 13033109. The next prime is 13033187. The reversal of 13033152 is 25133031.

13033152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 766648 + ... + 766664.

Almost surely, 2^13033152 is an apocalyptic number.

13033152 is a gapful number since it is divisible by the number (12) 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 13033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21753576).

13033152 is an abundant number, since it is smaller than the sum of its proper divisors (30474000).

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

13033152 is a wasteful number, since it uses less digits than its factorization.

13033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13033152 is about 3610.1457034308. The cubic root of 13033152 is about 235.3331746145. Note that the first 3 decimals are identical.

Adding to 13033152 its reverse (25133031), we get a palindrome (38166183).

The spelling of 13033152 in words is "thirteen million, thirty-three thousand, one hundred fifty-two".