13301000 has 64 divisors (see below), whose sum is σ = 31898880. Its totient is φ = 5188800.

The previous prime is 13300997. The next prime is 13301017. The reversal of 13301000 is 10331.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 15 ways as a sum of consecutive naturals, for example, 46859 + ... + 47141.

It is an arithmetic number, because the mean of its divisors is an integer number (498420).

Almost surely, 2^13301000 is an apocalyptic number.

13301000 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 13301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949440).

13301000 is an abundant number, since it is smaller than the sum of its proper divisors (18597880).

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

13301000 is a wasteful number, since it uses less digits than its factorization.

13301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13301000 is about 3647.0536053094. The cubic root of 13301000 is about 236.9343881233.

Adding to 13301000 its reverse (10331), we get a palindrome (13311331).

The spelling of 13301000 in words is "thirteen million, three hundred one thousand".