13001320020 has 192 divisors, whose sum is σ = 41866352640. Its totient is φ = 2990131200.

The previous prime is 13001320001. The next prime is 13001320021. The reversal of 13001320020 is 2002310031.

It is a happy number.

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 = 13001319978 and 13001320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13001320021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 691950 + ... + 710490.

It is an arithmetic number, because the mean of its divisors is an integer number (218053920).

Almost surely, 2^13001320020 is an apocalyptic number.

13001320020 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 13001320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933176320).

13001320020 is an abundant number, since it is smaller than the sum of its proper divisors (28865032620).

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

13001320020 is a wasteful number, since it uses less digits than its factorization.

13001320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626 (or 18624 counting only the distinct ones).

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

Adding to 13001320020 its reverse (2002310031), we get a palindrome (15003630051).

The spelling of 13001320020 in words is "thirteen billion, one million, three hundred twenty thousand, twenty".