13380120 has 128 divisors (see below), whose sum is σ = 48081600. Its totient is φ = 3290112.

The previous prime is 13380119. The next prime is 13380131. The reversal of 13380120 is 2108331.

It is a super-2 number, since 2×13380120² = 358055222428800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13380093 and 13380102.

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, 13564 + ... + 14516.

Almost surely, 2^13380120 is an apocalyptic number.

13380120 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 13380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040800).

13380120 is an abundant number, since it is smaller than the sum of its proper divisors (34701480).

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

13380120 is a wasteful number, since it uses less digits than its factorization.

13380120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 976 counting only the distinct ones).

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

The square root of 13380120 is about 3657.8846345942. The cubic root of 13380120 is about 237.4032551488.

Adding to 13380120 its reverse (2108331), we get a palindrome (15488451).

The spelling of 13380120 in words is "thirteen million, three hundred eighty thousand, one hundred twenty".