20003100130020 has 192 divisors, whose sum is σ = 64508733757440. Its totient is φ = 4536546766848.

The previous prime is 20003100130007. The next prime is 20003100130033. The reversal of 20003100130020 is 2003100130002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20003100130007) and next prime (20003100130033).

It is a super-2 number, since 2×20003100130020² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20003100129978 and 20003100130005.

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 63 ways as a sum of consecutive naturals, for example, 98969907 + ... + 99171813.

It is an arithmetic number, because the mean of its divisors is an integer number (335982988320).

Almost surely, 2^{20003100130020} is an apocalyptic number.

20003100130020 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 20003100130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32254366878720).

20003100130020 is an abundant number, since it is smaller than the sum of its proper divisors (44505633627420).

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

20003100130020 is a wasteful number, since it uses less digits than its factorization.

20003100130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203762 (or 203760 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 20003100130020 its reverse (2003100130002), we get a palindrome (22006200260022).

The spelling of 20003100130020 in words is "twenty trillion, three billion, one hundred million, one hundred thirty thousand, twenty".