13301421131020 has 288 divisors, whose sum is σ = 32126236369920. Its totient is φ = 4584634629120.

The previous prime is 13301421130813. The next prime is 13301421131027. The reversal of 13301421131020 is 2013112410331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13301421130982 and 13301421131000.

It is not an unprimeable number, because it can be changed into a prime (13301421131027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2601487984 + ... + 2601493096.

It is an arithmetic number, because the mean of its divisors is an integer number (111549431840).

Almost surely, 2^{13301421131020} is an apocalyptic number.

13301421131020 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 13301421131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16063118184960).

13301421131020 is an abundant number, since it is smaller than the sum of its proper divisors (18824815238900).

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

13301421131020 is a wasteful number, since it uses less digits than its factorization.

13301421131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5312 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13301421131020 its reverse (2013112410331), we get a palindrome (15314533541351).

The spelling of 13301421131020 in words is "thirteen trillion, three hundred one billion, four hundred twenty-one million, one hundred thirty-one thousand, twenty".