13105441231320 has 256 divisors, whose sum is σ = 40826241792000. Its totient is φ = 3362715648000.

The previous prime is 13105441231307. The next prime is 13105441231331. The reversal of 13105441231320 is 2313214450131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 602510445 + ... + 602532195.

It is an arithmetic number, because the mean of its divisors is an integer number (159477507000).

Almost surely, 2^{13105441231320} is an apocalyptic number.

13105441231320 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 13105441231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20413120896000).

13105441231320 is an abundant number, since it is smaller than the sum of its proper divisors (27720800560680).

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

13105441231320 is a wasteful number, since it uses less digits than its factorization.

13105441231320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23298 (or 23294 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 13105441231320 its reverse (2313214450131), we get a palindrome (15418655681451).

The spelling of 13105441231320 in words is "thirteen trillion, one hundred five billion, four hundred forty-one million, two hundred thirty-one thousand, three hundred twenty".