13530300120 has 192 divisors, whose sum is σ = 45254008800. Its totient is φ = 3503831040.

The previous prime is 13530300089. The next prime is 13530300143. The reversal of 13530300120 is 2100303531.

13530300120 is a `hidden beast` number, since 1 + 353 + 0 + 300 + 12 + 0 = 666.

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 = 13530300093 and 13530300102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3378039 + ... + 3382041.

Almost surely, 2^13530300120 is an apocalyptic number.

13530300120 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 13530300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22627004400).

13530300120 is an abundant number, since it is smaller than the sum of its proper divisors (31723708680).

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

13530300120 is a wasteful number, since it uses less digits than its factorization.

13530300120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4290 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 13530300120 its reverse (2100303531), we get a palindrome (15630603651).

The spelling of 13530300120 in words is "thirteen billion, five hundred thirty million, three hundred thousand, one hundred twenty".