13300302131120 has 80 divisors (see below), whose sum is σ = 31454564591520. Its totient is φ = 5228745234432.

The previous prime is 13300302131113. The next prime is 13300302131167. The reversal of 13300302131120 is 2113120300331.

13300302131120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13300302131092 and 13300302131101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20318372 + ... + 20962748.

It is an arithmetic number, because the mean of its divisors is an integer number (393182057394).

Almost surely, 2^{13300302131120} is an apocalyptic number.

13300302131120 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 13300302131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727282295760).

13300302131120 is an abundant number, since it is smaller than the sum of its proper divisors (18154262460400).

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

13300302131120 is a wasteful number, since it uses less digits than its factorization.

13300302131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648822 (or 648816 counting only the distinct ones).

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

Adding to 13300302131120 its reverse (2113120300331), we get a palindrome (15413422431451).

The spelling of 13300302131120 in words is "thirteen trillion, three hundred billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty".