13023000 has 96 divisors (see below), whose sum is σ = 44048160. Its totient is φ = 3470400.

The previous prime is 13022963. The next prime is 13023013. The reversal of 13023000 is 32031.

It is a happy number.

13023000 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8277 + ... + 9723.

It is an arithmetic number, because the mean of its divisors is an integer number (458835).

Almost surely, 2^13023000 is an apocalyptic number.

13023000 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 13023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22024080).

13023000 is an abundant number, since it is smaller than the sum of its proper divisors (31025160).

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

13023000 is a wasteful number, since it uses less digits than its factorization.

13023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13023000 is about 3608.7393920869. The cubic root of 13023000 is about 235.2720555295.

Adding to 13023000 its reverse (32031), we get a palindrome (13055031).

The spelling of 13023000 in words is "thirteen million, twenty-three thousand".