13320322020000 has 720 divisors, whose sum is σ = 51671471211360. Its totient is φ = 3365110656000.

The previous prime is 13320322019999. The next prime is 13320322020001. The reversal of 13320322020000 is 2022302331.

It is a happy number.

13320322020000 is a `hidden beast` number, since 1 + 3 + 320 + 322 + 0 + 20 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13320322019999) and next prime (13320322020001).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13320322020001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 92267874 + ... + 92412126.

It is an arithmetic number, because the mean of its divisors is an integer number (71765932238).

Almost surely, 2^{13320322020000} is an apocalyptic number.

13320322020000 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 13320322020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25835735605680).

13320322020000 is an abundant number, since it is smaller than the sum of its proper divisors (38351149191360).

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

13320322020000 is an equidigital number, since it uses as much as digits as its factorization.

13320322020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144317 (or 144282 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13320322020000 its reverse (2022302331), we get a palindrome (13322344322331).

The spelling of 13320322020000 in words is "thirteen trillion, three hundred twenty billion, three hundred twenty-two million, twenty thousand".