13100241024 has 256 divisors, whose sum is σ = 42612662400. Its totient is φ = 3936522240.

The previous prime is 13100241017. The next prime is 13100241029. The reversal of 13100241024 is 42014200131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13100240988 and 13100241006.

It is not an unprimeable number, because it can be changed into a prime (13100241029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1928514 + ... + 1935294.

Almost surely, 2^13100241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13100241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21306331200).

13100241024 is an abundant number, since it is smaller than the sum of its proper divisors (29512421376).

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

13100241024 is a wasteful number, since it uses less digits than its factorization.

13100241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 13100241024 its reverse (42014200131), we get a palindrome (55114441155).

The spelling of 13100241024 in words is "thirteen billion, one hundred million, two hundred forty-one thousand, twenty-four".