13100880 has 240 divisors, whose sum is σ = 49014720. Its totient is φ = 2875392.

The previous prime is 13100821. The next prime is 13100887. The reversal of 13100880 is 8800131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13100887) 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 47 ways as a sum of consecutive naturals, for example, 689511 + ... + 689529.

It is an arithmetic number, because the mean of its divisors is an integer number (204228).

Almost surely, 2^13100880 is an apocalyptic number.

13100880 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 13100880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24507360).

13100880 is an abundant number, since it is smaller than the sum of its proper divisors (35913840).

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

13100880 is a wasteful number, since it uses less digits than its factorization.

13100880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 13100880 is about 3619.5137795013. The cubic root of 13100880 is about 235.7401141840.

The spelling of 13100880 in words is "thirteen million, one hundred thousand, eight hundred eighty".