13101120 has 84 divisors (see below), whose sum is σ = 45072300. Its totient is φ = 3492864.

The previous prime is 13101119. The next prime is 13101157. The reversal of 13101120 is 2110131.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 5875776 = 2688^2 + 2424^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 606 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (536575).

Almost surely, 2^13101120 is an apocalyptic number.

13101120 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 13101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22536150).

13101120 is an abundant number, since it is smaller than the sum of its proper divisors (31971180).

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

13101120 is a wasteful number, since it uses less digits than its factorization.

13101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4572 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 13101120 is about 3619.5469329738. The cubic root of 13101120 is about 235.7415537128.

Adding to 13101120 its reverse (2110131), we get a palindrome (15211251).

It can be divided in two parts, 1 and 3101120, that added together give a square (3101121 = 1761²).

The spelling of 13101120 in words is "thirteen million, one hundred one thousand, one hundred twenty".