13213120 has 56 divisors (see below), whose sum is σ = 31784544. Its totient is φ = 5231616.

The previous prime is 13213093. The next prime is 13213121. The reversal of 13213120 is 2131231.

It is a self number, because there is not a number n which added to its sum of digits gives 13213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13213121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50109 + ... + 50371.

Almost surely, 2^13213120 is an apocalyptic number.

13213120 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 13213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892272).

13213120 is an abundant number, since it is smaller than the sum of its proper divisors (18571424).

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

13213120 is a wasteful number, since it uses less digits than its factorization.

13213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 13213120 is about 3634.9855570552. The cubic root of 13213120 is about 236.4114244419.

Adding to 13213120 its reverse (2131231), we get a palindrome (15344351).

The spelling of 13213120 in words is "thirteen million, two hundred thirteen thousand, one hundred twenty".