13530345030 has 64 divisors (see below), whose sum is σ = 36164560320. Its totient is φ = 3599728128.

The previous prime is 13530345001. The next prime is 13530345107. The reversal of 13530345030 is 3054303531.

It is a happy number.

13530345030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13530344985 and 13530345003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59044 + ... + 174776.

It is an arithmetic number, because the mean of its divisors is an integer number (565071255).

Almost surely, 2^13530345030 is an apocalyptic number.

13530345030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13530345030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18082280160).

13530345030 is an abundant number, since it is smaller than the sum of its proper divisors (22634215290).

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

13530345030 is a wasteful number, since it uses less digits than its factorization.

13530345030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116182 (or 116176 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

Adding to 13530345030 its reverse (3054303531), we get a palindrome (16584648561).

The spelling of 13530345030 in words is "thirteen billion, five hundred thirty million, three hundred forty-five thousand, thirty".