13105385280 has 1120 divisors, whose sum is σ = 55763769600. Its totient is φ = 2890432512.

The previous prime is 13105385231. The next prime is 13105385309. The reversal of 13105385280 is 8258350131.

It is a super-2 number, since 2×13105385280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 147251476 + ... + 147251564.

It is an arithmetic number, because the mean of its divisors is an integer number (49789080).

Almost surely, 2^13105385280 is an apocalyptic number.

13105385280 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 13105385280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27881884800).

13105385280 is an abundant number, since it is smaller than the sum of its proper divisors (42658384320).

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

13105385280 is a wasteful number, since it uses less digits than its factorization.

13105385280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13105385280 in words is "thirteen billion, one hundred five million, three hundred eighty-five thousand, two hundred eighty".