13533150 has 48 divisors (see below), whose sum is σ = 33997824. Its totient is φ = 3562080.

The previous prime is 13533137. The next prime is 13533151. The reversal of 13533150 is 5133531.

It is a happy number.

It is a super-2 number, since 2×13533150² = 366292297845000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13533151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11907 + ... + 12993.

It is an arithmetic number, because the mean of its divisors is an integer number (708288).

Almost surely, 2^13533150 is an apocalyptic number.

13533150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13533150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16998912).

13533150 is an abundant number, since it is smaller than the sum of its proper divisors (20464674).

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

13533150 is a wasteful number, since it uses less digits than its factorization.

13533150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 21.

The square root of 13533150 is about 3678.7429918384. The cubic root of 13533150 is about 238.3048960588.

Adding to 13533150 its reverse (5133531), we get a palindrome (18666681).

The spelling of 13533150 in words is "thirteen million, five hundred thirty-three thousand, one hundred fifty".