13101123220020 has 432 divisors, whose sum is σ = 46660170145680. Its totient is φ = 2962741985280.

The previous prime is 13101123220019. The next prime is 13101123220021. The reversal of 13101123220020 is 2002232110131.

13101123220020 is a `hidden beast` number, since 1 + 310 + 1 + 12 + 322 + 0 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (13101123220019) and next prime (13101123220021).

It can be written as a sum of positive squares in 8 ways, for example, as 3428289246096 + 9672833973924 = 1851564^2 + 3110118^2 .

It is a super-2 number, since 2×13101123220020² (a number of 27 digits) contains 22 as substring.

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 = 13101123219975 and 13101123220002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101123220021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41682816 + ... + 41995944.

It is an arithmetic number, because the mean of its divisors is an integer number (108009653115).

Almost surely, 2^{13101123220020} is an apocalyptic number.

13101123220020 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 13101123220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23330085072840).

13101123220020 is an abundant number, since it is smaller than the sum of its proper divisors (33559046925660).

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

13101123220020 is a wasteful number, since it uses less digits than its factorization.

13101123220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313296 (or 313280 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101123220020 its reverse (2002232110131), we get a palindrome (15103355330151).

The spelling of 13101123220020 in words is "thirteen trillion, one hundred one billion, one hundred twenty-three million, two hundred twenty thousand, twenty".