13100241440 has 192 divisors, whose sum is σ = 36489398400. Its totient is φ = 4381655040.

The previous prime is 13100241437. The next prime is 13100241443. The reversal of 13100241440 is 4414200131.

It is an interprime number because it is at equal distance from previous prime (13100241437) and next prime (13100241443).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (13100241443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7709711 + ... + 7711409.

It is an arithmetic number, because the mean of its divisors is an integer number (190048950).

Almost surely, 2^13100241440 is an apocalyptic number.

13100241440 is a gapful number since it is divisible by the number (10) 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 13100241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244699200).

13100241440 is an abundant number, since it is smaller than the sum of its proper divisors (23389156960).

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

13100241440 is a wasteful number, since it uses less digits than its factorization.

13100241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13100241440 its reverse (4414200131), we get a palindrome (17514441571).

The spelling of 13100241440 in words is "thirteen billion, one hundred million, two hundred forty-one thousand, four hundred forty".