13241424311412 has 144 divisors (see below), whose sum is σ = 35964304117056. Its totient is φ = 3775908787200.

The previous prime is 13241424311389. The next prime is 13241424311449. The reversal of 13241424311412 is 21411342414231.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 165120558 + ... + 165200730.

It is an arithmetic number, because the mean of its divisors is an integer number (249752111924).

Almost surely, 2^{13241424311412} is an apocalyptic number.

13241424311412 is a gapful number since it is divisible by the number (12) 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 13241424311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17982152058528).

13241424311412 is an abundant number, since it is smaller than the sum of its proper divisors (22722879805644).

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

13241424311412 is a wasteful number, since it uses less digits than its factorization.

13241424311412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86910 (or 86897 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 13241424311412 its reverse (21411342414231), we get a palindrome (34652766725643).

The spelling of 13241424311412 in words is "thirteen trillion, two hundred forty-one billion, four hundred twenty-four million, three hundred eleven thousand, four hundred twelve".