13142221101300 has 144 divisors (see below), whose sum is σ = 39095422232832. Its totient is φ = 3406127961600.

The previous prime is 13142221101283. The next prime is 13142221101307. The reversal of 13142221101300 is 310112224131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142221101307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9462274 + ... + 10761926.

It is an arithmetic number, because the mean of its divisors is an integer number (271495987728).

Almost surely, 2^{13142221101300} is an apocalyptic number.

13142221101300 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 13142221101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19547711116416).

13142221101300 is an abundant number, since it is smaller than the sum of its proper divisors (25953201131532).

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

13142221101300 is a wasteful number, since it uses less digits than its factorization.

13142221101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300618 (or 1300611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13142221101300 its reverse (310112224131), we get a palindrome (13452333325431).

The spelling of 13142221101300 in words is "thirteen trillion, one hundred forty-two billion, two hundred twenty-one million, one hundred one thousand, three hundred".