13302000 has 120 divisors (see below), whose sum is σ = 46522320. Its totient is φ = 3542400.

The previous prime is 13301989. The next prime is 13302011. The reversal of 13302000 is 20331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13301989) and next prime (13302011).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17631 + ... + 18369.

It is an arithmetic number, because the mean of its divisors is an integer number (387686).

Almost surely, 2^13302000 is an apocalyptic number.

13302000 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 13302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23261160).

13302000 is an abundant number, since it is smaller than the sum of its proper divisors (33220320).

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

13302000 is a wasteful number, since it uses less digits than its factorization.

13302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13302000 is about 3647.1906997030. The cubic root of 13302000 is about 236.9403257332.

Adding to 13302000 its reverse (20331), we get a palindrome (13322331).

The spelling of 13302000 in words is "thirteen million, three hundred two thousand".