13027000 has 64 divisors (see below), whose sum is σ = 34856640. Its totient is φ = 4464000.

The previous prime is 13026983. The next prime is 13027013. The reversal of 13027000 is 72031.

13027000 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

13027000 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6070 + ... + 7930.

It is an arithmetic number, because the mean of its divisors is an integer number (544635).

Almost surely, 2^13027000 is an apocalyptic number.

13027000 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 13027000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428320).

13027000 is an abundant number, since it is smaller than the sum of its proper divisors (21829640).

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

13027000 is a wasteful number, since it uses less digits than its factorization.

13027000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 13027000 is about 3609.2935596873. The cubic root of 13027000 is about 235.2961409140.

Adding to 13027000 its reverse (72031), we get a palindrome (13099031).

The spelling of 13027000 in words is "thirteen million, twenty-seven thousand".