13071120 has 80 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 3446272.

The previous prime is 13071109. The next prime is 13071127. The reversal of 13071120 is 2117031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13071120.

It is not an unprimeable number, because it can be changed into a prime (13071127) 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 15 ways as a sum of consecutive naturals, for example, 25426 + ... + 25934.

It is an arithmetic number, because the mean of its divisors is an integer number (512244).

Almost surely, 2^13071120 is an apocalyptic number.

13071120 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 13071120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

13071120 is an abundant number, since it is smaller than the sum of its proper divisors (27908400).

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

13071120 is a wasteful number, since it uses less digits than its factorization.

13071120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13071120 is about 3615.4003927643. The cubic root of 13071120 is about 235.5614761905.

Adding to 13071120 its reverse (2117031), we get a palindrome (15188151).

The spelling of 13071120 in words is "thirteen million, seventy-one thousand, one hundred twenty".