20130035100 has 144 divisors (see below), whose sum is σ = 66909550848. Its totient is φ = 4577218560.

The previous prime is 20130034957. The next prime is 20130035113. The reversal of 20130035100 is 153003102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20130035100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380467 + ... + 430133.

Almost surely, 2^20130035100 is an apocalyptic number.

20130035100 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 20130035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454775424).

20130035100 is an abundant number, since it is smaller than the sum of its proper divisors (46779515748).

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

20130035100 is a wasteful number, since it uses less digits than its factorization.

20130035100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49884 (or 49877 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 20130035100 its reverse (153003102), we get a palindrome (20283038202).

The spelling of 20130035100 in words is "twenty billion, one hundred thirty million, thirty-five thousand, one hundred".