13123000 has 64 divisors (see below), whose sum is σ = 33527520. Its totient is φ = 4768000.

The previous prime is 13122983. The next prime is 13123003. The reversal of 13123000 is 32131.

13123000 is digitally balanced in base 2, because in such base 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 (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10404 + ... + 11596.

Almost surely, 2^13123000 is an apocalyptic number.

13123000 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 13123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16763760).

13123000 is an abundant number, since it is smaller than the sum of its proper divisors (20404520).

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

13123000 is a wasteful number, since it uses less digits than its factorization.

13123000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13123000 is about 3622.5681498075. The cubic root of 13123000 is about 235.8727169622.

Adding to 13123000 its reverse (32131), we get a palindrome (13155131).

The spelling of 13123000 in words is "thirteen million, one hundred twenty-three thousand".