13011143200 has 144 divisors (see below), whose sum is σ = 34996510080. Its totient is φ = 4684160000.

The previous prime is 13011143191. The next prime is 13011143227. The reversal of 13011143200 is 234111031.

It is a super-3 number, since 3×13011143200³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 881481 + ... + 896119.

It is an arithmetic number, because the mean of its divisors is an integer number (243031320).

Almost surely, 2^13011143200 is an apocalyptic number.

13011143200 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 13011143200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498255040).

13011143200 is an abundant number, since it is smaller than the sum of its proper divisors (21985366880).

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

13011143200 is a wasteful number, since it uses less digits than its factorization.

13011143200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13011143200 its reverse (234111031), we get a palindrome (13245254231).

The spelling of 13011143200 in words is "thirteen billion, eleven million, one hundred forty-three thousand, two hundred".