13123000800 has 432 divisors, whose sum is σ = 56956667040. Its totient is φ = 2768670720.

The previous prime is 13123000771. The next prime is 13123000841. The reversal of 13123000800 is 800032131.

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 71 ways as a sum of consecutive naturals, for example, 645186 + ... + 665214.

Almost surely, 2^13123000800 is an apocalyptic number.

13123000800 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 13123000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28478333520).

13123000800 is an abundant number, since it is smaller than the sum of its proper divisors (43833666240).

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

13123000800 is a wasteful number, since it uses less digits than its factorization.

13123000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20075 (or 20059 counting only the distinct ones).

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

Adding to 13123000800 its reverse (800032131), we get a palindrome (13923032931).

The spelling of 13123000800 in words is "thirteen billion, one hundred twenty-three million, eight hundred", and thus it is an aban number.