13300101222441 has 48 divisors (see below), whose sum is σ = 19534198154688. Its totient is φ = 8043290703360.

The previous prime is 13300101222427. The next prime is 13300101222487. The reversal of 13300101222441 is 14422210100331.

It is not a de Polignac number, because 13300101222441 - 2¹⁸ = 13300100960297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13300101223441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1289639101 + ... + 1289649413.

It is an arithmetic number, because the mean of its divisors is an integer number (406962461556).

Almost surely, 2^{13300101222441} is an apocalyptic number.

13300101222441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13300101222441 is a deficient number, since it is larger than the sum of its proper divisors (6234096932247).

13300101222441 is a wasteful number, since it uses less digits than its factorization.

13300101222441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17654 (or 17643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13300101222441 its reverse (14422210100331), we get a palindrome (27722311322772).

The spelling of 13300101222441 in words is "thirteen trillion, three hundred billion, one hundred one million, two hundred twenty-two thousand, four hundred forty-one".