13022131323000 has 512 divisors, whose sum is σ = 42254379648000. Its totient is φ = 3336958310400.

The previous prime is 13022131322987. The next prime is 13022131323001. The reversal of 13022131323000 is 32313122031.

13022131323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022131323001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1906883586 + ... + 1906890414.

It is an arithmetic number, because the mean of its divisors is an integer number (82528085250).

Almost surely, 2^{13022131323000} is an apocalyptic number.

13022131323000 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 13022131323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21127189824000).

13022131323000 is an abundant number, since it is smaller than the sum of its proper divisors (29232248325000).

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

13022131323000 is a wasteful number, since it uses less digits than its factorization.

13022131323000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7152 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13022131323000 its reverse (32313122031), we get a palindrome (13054444445031).

The spelling of 13022131323000 in words is "thirteen trillion, twenty-two billion, one hundred thirty-one million, three hundred twenty-three thousand".