13114441321000 has 128 divisors (see below), whose sum is σ = 30747393855360. Its totient is φ = 5235596352000.

The previous prime is 13114441320997. The next prime is 13114441321031. The reversal of 13114441321000 is 12314441131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2040519787 + ... + 2040526213.

It is an arithmetic number, because the mean of its divisors is an integer number (240214014495).

Almost surely, 2^{13114441321000} is an apocalyptic number.

13114441321000 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 13114441321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15373696927680).

13114441321000 is an abundant number, since it is smaller than the sum of its proper divisors (17632952534360).

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

13114441321000 is a wasteful number, since it uses less digits than its factorization.

13114441321000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 13114441321000 its reverse (12314441131), we get a palindrome (13126755762131).

The spelling of 13114441321000 in words is "thirteen trillion, one hundred fourteen billion, four hundred forty-one million, three hundred twenty-one thousand".