13144322241100 has 36 divisors (see below), whose sum is σ = 28628430906208. Its totient is φ = 5238327672000.

The previous prime is 13144322241047. The next prime is 13144322241109. The reversal of 13144322241100 is 114222344131.

It is a happy number.

13144322241100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13144322241100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144322241109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242488071 + ... + 242542270.

Almost surely, 2^{13144322241100} is an apocalyptic number.

13144322241100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144322241100 is an abundant number, since it is smaller than the sum of its proper divisors (15484108665108).

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

13144322241100 is a wasteful number, since it uses less digits than its factorization.

13144322241100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485030626 (or 485030619 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 13144322241100 its reverse (114222344131), we get a palindrome (13258544585231).

The spelling of 13144322241100 in words is "thirteen trillion, one hundred forty-four billion, three hundred twenty-two million, two hundred forty-one thousand, one hundred".