13123800 has 144 divisors (see below), whose sum is σ = 46135440. Its totient is φ = 3336960.

The previous prime is 13123769. The next prime is 13123811. The reversal of 13123800 is 832131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41242 + ... + 41558.

It is an arithmetic number, because the mean of its divisors is an integer number (320385).

Almost surely, 2^13123800 is an apocalyptic number.

13123800 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 13123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23067720).

13123800 is an abundant number, since it is smaller than the sum of its proper divisors (33011640).

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

13123800 is a wasteful number, since it uses less digits than its factorization.

13123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13123800 is about 3622.6785670274. The cubic root of 13123800 is about 235.8775099297.

Adding to 13123800 its reverse (832131), we get a palindrome (13955931).

The spelling of 13123800 in words is "thirteen million, one hundred twenty-three thousand, eight hundred".