13530021120 has 648 divisors, whose sum is σ = 59433060960. Its totient is φ = 2810142720.

The previous prime is 13530021119. The next prime is 13530021133. The reversal of 13530021120 is 2112003531.

13530021120 is a `hidden beast` number, since 13 + 530 + 0 + 2 + 1 + 120 = 666.

It is a super-2 number, since 2×13530021120² (a number of 21 digits) 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 = 13530021093 and 13530021102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6208191 + ... + 6210369.

Almost surely, 2^13530021120 is an apocalyptic number.

13530021120 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 13530021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29716530480).

13530021120 is an abundant number, since it is smaller than the sum of its proper divisors (45903039840).

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

13530021120 is a wasteful number, since it uses less digits than its factorization.

13530021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2231 (or 2207 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 13530021120 its reverse (2112003531), we get a palindrome (15642024651).

The spelling of 13530021120 in words is "thirteen billion, five hundred thirty million, twenty-one thousand, one hundred twenty".