13013203210020 has 192 divisors, whose sum is σ = 43607391287040. Its totient is φ = 3202691705856.

The previous prime is 13013203210019. The next prime is 13013203210031. The reversal of 13013203210020 is 2001230231031.

13013203210020 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 320 + 321 + 0 + 0 + 20 = 666.

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 = 13013203209975 and 13013203210002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40859232 + ... + 41176488.

It is an arithmetic number, because the mean of its divisors is an integer number (227121829620).

Almost surely, 2^{13013203210020} is an apocalyptic number.

13013203210020 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 13013203210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21803695643520).

13013203210020 is an abundant number, since it is smaller than the sum of its proper divisors (30594188077020).

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

13013203210020 is a wasteful number, since it uses less digits than its factorization.

13013203210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323131 (or 323123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013203210020 its reverse (2001230231031), we get a palindrome (15014433441051).

The spelling of 13013203210020 in words is "thirteen trillion, thirteen billion, two hundred three million, two hundred ten thousand, twenty".