13142220000 has 960 divisors, whose sum is σ = 55548218880. Its totient is φ = 2644992000.

The previous prime is 13142219939. The next prime is 13142220037. The reversal of 13142220000 is 2224131.

13142220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 158339959 + ... + 158340041.

It is an arithmetic number, because the mean of its divisors is an integer number (57862728).

Almost surely, 2^13142220000 is an apocalyptic number.

13142220000 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 13142220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27774109440).

13142220000 is an abundant number, since it is smaller than the sum of its proper divisors (42405998880).

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

13142220000 is a wasteful number, since it uses less digits than its factorization.

13142220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 13142220000 its reverse (2224131), we get a palindrome (13144444131).

The spelling of 13142220000 in words is "thirteen billion, one hundred forty-two million, two hundred twenty thousand".