13011444000 has 576 divisors, whose sum is σ = 48570762240. Its totient is φ = 3294720000.

The previous prime is 13011443987. The next prime is 13011444023. The reversal of 13011444000 is 44411031.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99323935 + ... + 99324065.

It is an arithmetic number, because the mean of its divisors is an integer number (84324240).

Almost surely, 2^13011444000 is an apocalyptic number.

13011444000 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 13011444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24285381120).

13011444000 is an abundant number, since it is smaller than the sum of its proper divisors (35559318240).

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

13011444000 is a wasteful number, since it uses less digits than its factorization.

13011444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13011444000 its reverse (44411031), we get a palindrome (13055855031).

The spelling of 13011444000 in words is "thirteen billion, eleven million, four hundred forty-four thousand".