13021064 has 48 divisors (see below), whose sum is σ = 28933200. Its totient is φ = 5476128.

The previous prime is 13021051. The next prime is 13021069. The reversal of 13021064 is 46012031.

13021064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13021069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22847 + ... + 23409.

It is an arithmetic number, because the mean of its divisors is an integer number (602775).

Almost surely, 2^13021064 is an apocalyptic number.

13021064 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 13021064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14466600).

13021064 is an abundant number, since it is smaller than the sum of its proper divisors (15912136).

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

13021064 is a wasteful number, since it uses less digits than its factorization.

13021064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 13021064 is about 3608.4711444045. The cubic root of 13021064 is about 235.2603964322.

Adding to 13021064 its reverse (46012031), we get a palindrome (59033095).

The spelling of 13021064 in words is "thirteen million, twenty-one thousand, sixty-four".