13105442523320 has 256 divisors, whose sum is σ = 36559641600000. Its totient is φ = 4216835470848.

The previous prime is 13105442523259. The next prime is 13105442523377. The reversal of 13105442523320 is 2332524450131.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 16332881 + ... + 17116479.

It is an arithmetic number, because the mean of its divisors is an integer number (142811100000).

Almost surely, 2^{13105442523320} is an apocalyptic number.

13105442523320 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 13105442523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279820800000).

13105442523320 is an abundant number, since it is smaller than the sum of its proper divisors (23454199076680).

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

13105442523320 is a wasteful number, since it uses less digits than its factorization.

13105442523320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783707 (or 783689 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 13105442523320 its reverse (2332524450131), we get a palindrome (15437966973451).

The spelling of 13105442523320 in words is "thirteen trillion, one hundred five billion, four hundred forty-two million, five hundred twenty-three thousand, three hundred twenty".