13342000 has 80 divisors (see below), whose sum is σ = 36908352. Its totient is φ = 4569600.

The previous prime is 13341973. The next prime is 13342003. The reversal of 13342000 is 24331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13342003) 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 15 ways as a sum of consecutive naturals, for example, 13524 + ... + 14476.

Almost surely, 2^13342000 is an apocalyptic number.

13342000 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 13342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18454176).

13342000 is an abundant number, since it is smaller than the sum of its proper divisors (23566352).

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

13342000 is an equidigital number, since it uses as much as digits as its factorization.

13342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 13342000 is about 3652.6702561277. The cubic root of 13342000 is about 237.1775865193.

Adding to 13342000 its reverse (24331), we get a palindrome (13366331).

The spelling of 13342000 in words is "thirteen million, three hundred forty-two thousand".