13321000214320 has 40 divisors (see below), whose sum is σ = 31045242821040. Its totient is φ = 5315683127040.

The previous prime is 13321000214293. The next prime is 13321000214321. The reversal of 13321000214320 is 2341200012331.

13321000214320 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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 13321000214291 and 13321000214300.

It is not an unprimeable number, because it can be changed into a prime (13321000214321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198668751 + ... + 198735790.

It is an arithmetic number, because the mean of its divisors is an integer number (776131070526).

Almost surely, 2^{13321000214320} is an apocalyptic number.

13321000214320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321000214320 is an abundant number, since it is smaller than the sum of its proper divisors (17724242606720).

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

13321000214320 is a wasteful number, since it uses less digits than its factorization.

13321000214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397404973 (or 397404967 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13321000214320 its reverse (2341200012331), we get a palindrome (15662200226651).

The spelling of 13321000214320 in words is "thirteen trillion, three hundred twenty-one billion, two hundred fourteen thousand, three hundred twenty".