13105401221444 has 48 divisors (see below), whose sum is σ = 26919774134400. Its totient is φ = 5464684465920.

The previous prime is 13105401221443. The next prime is 13105401221501. The reversal of 13105401221444 is 44412210450131.

13105401221444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13105401221444.

It is not an unprimeable number, because it can be changed into a prime (13105401221443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62987504 + ... + 63195224.

It is an arithmetic number, because the mean of its divisors is an integer number (560828627800).

Almost surely, 2^{13105401221444} is an apocalyptic number.

13105401221444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13105401221444 is an abundant number, since it is smaller than the sum of its proper divisors (13814372912956).

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

13105401221444 is a wasteful number, since it uses less digits than its factorization.

13105401221444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268668 (or 268666 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 13105401221444 its reverse (44412210450131), we get a palindrome (57517611671575).

The spelling of 13105401221444 in words is "thirteen trillion, one hundred five billion, four hundred one million, two hundred twenty-one thousand, four hundred forty-four".