13133120 has 224 divisors, whose sum is σ = 43013376. Its totient is φ = 3686400.

The previous prime is 13133111. The next prime is 13133147. The reversal of 13133120 is 2133131.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13133095 and 13133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320300 + ... + 320340.

It is an arithmetic number, because the mean of its divisors is an integer number (192024).

Almost surely, 2^13133120 is an apocalyptic number.

13133120 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 13133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21506688).

13133120 is an abundant number, since it is smaller than the sum of its proper divisors (29880256).

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

13133120 is a wasteful number, since it uses less digits than its factorization.

13133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 13133120 is about 3623.9646797396. The cubic root of 13133120 is about 235.9333336545.

Adding to 13133120 its reverse (2133131), we get a palindrome (15266251).

The spelling of 13133120 in words is "thirteen million, one hundred thirty-three thousand, one hundred twenty".