13332000 has 192 divisors, whose sum is σ = 48117888. Its totient is φ = 3200000.

The previous prime is 13331999. The next prime is 13332013. The reversal of 13332000 is 23331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 131950 + ... + 132050.

It is an arithmetic number, because the mean of its divisors is an integer number (250614).

Almost surely, 2^13332000 is an apocalyptic number.

13332000 is a gapful number since it is divisible by the number (10) 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 13332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944).

13332000 is an abundant number, since it is smaller than the sum of its proper divisors (34785888).

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

13332000 is a wasteful number, since it uses less digits than its factorization.

13332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 13332000 is about 3651.3011379507. The cubic root of 13332000 is about 237.1183158285.

Adding to 13332000 its reverse (23331), we get a palindrome (13355331).

It can be divided in two parts, 1333 and 2000, that added together give a palindrome (3333).

The spelling of 13332000 in words is "thirteen million, three hundred thirty-two thousand".