20130135300 has 216 divisors, whose sum is σ = 69025582080. Its totient is φ = 4866374400.

The previous prime is 20130135239. The next prime is 20130135397. The reversal of 20130135300 is 353103102.

20130135300 is a `hidden beast` number, since 2 + 0 + 130 + 1 + 3 + 530 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3789046 + ... + 3794354.

It is an arithmetic number, because the mean of its divisors is an integer number (319562880).

Almost surely, 2^20130135300 is an apocalyptic number.

20130135300 is a gapful number since it is divisible by the number (20) 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 20130135300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34512791040).

20130135300 is an abundant number, since it is smaller than the sum of its proper divisors (48895446780).

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

20130135300 is a wasteful number, since it uses less digits than its factorization.

20130135300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5723 (or 5713 counting only the distinct ones).

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

Adding to 20130135300 its reverse (353103102), we get a palindrome (20483238402).

The spelling of 20130135300 in words is "twenty billion, one hundred thirty million, one hundred thirty-five thousand, three hundred".