13301020010322 has 96 divisors (see below), whose sum is σ = 32294921241024. Its totient is φ = 3920893257600.

The previous prime is 13301020010321. The next prime is 13301020010347. The reversal of 13301020010322 is 22301002010331.

13301020010322 is a `hidden beast` number, since 1 + 330 + 1 + 0 + 2 + 0 + 0 + 10 + 322 = 666.

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 = 13301020010295 and 13301020010304.

It is not an unprimeable number, because it can be changed into a prime (13301020010321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37015297 + ... + 37372907.

It is an arithmetic number, because the mean of its divisors is an integer number (336405429594).

Almost surely, 2^{13301020010322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13301020010322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147460620512).

13301020010322 is an abundant number, since it is smaller than the sum of its proper divisors (18993901230702).

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

13301020010322 is a wasteful number, since it uses less digits than its factorization.

13301020010322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362744 (or 362741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13301020010322 its reverse (22301002010331), we get a palindrome (35602022020653).

Subtracting 13301020010322 from its reverse (22301002010331), we obtain a square (8999982000009 = 2999997²).

The spelling of 13301020010322 in words is "thirteen trillion, three hundred one billion, twenty million, ten thousand, three hundred twenty-two".