13000312122320 has 160 divisors (see below), whose sum is σ = 31595392051200. Its totient is φ = 4965288007680.

The previous prime is 13000312122269. The next prime is 13000312122323. The reversal of 13000312122320 is 2322121300031.

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 = 13000312122292 and 13000312122301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000312122323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4647947162 + ... + 4647949958.

It is an arithmetic number, because the mean of its divisors is an integer number (197471200320).

Almost surely, 2^{13000312122320} is an apocalyptic number.

13000312122320 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 13000312122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15797696025600).

13000312122320 is an abundant number, since it is smaller than the sum of its proper divisors (18595079928880).

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

13000312122320 is a wasteful number, since it uses less digits than its factorization.

13000312122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6373 (or 6367 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13000312122320 its reverse (2322121300031), we get a palindrome (15322433422351).

The spelling of 13000312122320 in words is "thirteen trillion, three hundred twelve million, one hundred twenty-two thousand, three hundred twenty".