13301064 has 128 divisors (see below), whose sum is σ = 44544000. Its totient is φ = 3592512.

The previous prime is 13301051. The next prime is 13301129. The reversal of 13301064 is 46010331.

13301064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28497 + ... + 28959.

It is an arithmetic number, because the mean of its divisors is an integer number (348000).

Almost surely, 2^13301064 is an apocalyptic number.

13301064 is a gapful number since it is divisible by the number (14) 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 13301064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22272000).

13301064 is an abundant number, since it is smaller than the sum of its proper divisors (31242936).

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

13301064 is a wasteful number, since it uses less digits than its factorization.

13301064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13301064 is about 3647.0623795049. The cubic root of 13301064 is about 236.9347681392.

Adding to 13301064 its reverse (46010331), we get a palindrome (59311395).

The spelling of 13301064 in words is "thirteen million, three hundred one thousand, sixty-four".