13311303102020 has 288 divisors, whose sum is σ = 35606057760000. Its totient is φ = 4133531243520.

The previous prime is 13311303101983. The next prime is 13311303102121. The reversal of 13311303102020 is 2020130311331.

13311303102020 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 13311303101983 and 13311303102001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5866593446 + ... + 5866595714.

It is an arithmetic number, because the mean of its divisors is an integer number (123632145000).

Almost surely, 2^{13311303102020} is an apocalyptic number.

13311303102020 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 13311303102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803028880000).

13311303102020 is an abundant number, since it is smaller than the sum of its proper divisors (22294754657980).

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

13311303102020 is a wasteful number, since it uses less digits than its factorization.

13311303102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4082 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13311303102020 its reverse (2020130311331), we get a palindrome (15331433413351).

The spelling of 13311303102020 in words is "thirteen trillion, three hundred eleven billion, three hundred three million, one hundred two thousand, twenty".