13213080 has 144 divisors (see below), whose sum is σ = 45976320. Its totient is φ = 3290112.

The previous prime is 13213069. The next prime is 13213087. The reversal of 13213080 is 8031231.

13213080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213087) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103977 + ... + 104103.

It is an arithmetic number, because the mean of its divisors is an integer number (319280).

Almost surely, 2^13213080 is an apocalyptic number.

13213080 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 13213080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22988160).

13213080 is an abundant number, since it is smaller than the sum of its proper divisors (32763240).

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

13213080 is a wasteful number, since it uses less digits than its factorization.

13213080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13213080 is about 3634.9800549659. The cubic root of 13213080 is about 236.4111858794.

The spelling of 13213080 in words is "thirteen million, two hundred thirteen thousand, eighty".