13022213020032 has 256 divisors, whose sum is σ = 36322818854400. Its totient is φ = 4125744218112.

The previous prime is 13022213019941. The next prime is 13022213020039. The reversal of 13022213020032 is 23002031222031.

It is a happy number.

13022213020032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13022213019990 and 13022213020008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022213020039) 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, 3150787438 + ... + 3150791570.

It is an arithmetic number, because the mean of its divisors is an integer number (141886011150).

Almost surely, 2^{13022213020032} is an apocalyptic number.

13022213020032 is a gapful number since it is divisible by the number (12) 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 13022213020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161409427200).

13022213020032 is an abundant number, since it is smaller than the sum of its proper divisors (23300605834368).

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

13022213020032 is a wasteful number, since it uses less digits than its factorization.

13022213020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6345 (or 6333 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13022213020032 its reverse (23002031222031), we get a palindrome (36024244242063).

The spelling of 13022213020032 in words is "thirteen trillion, twenty-two billion, two hundred thirteen million, twenty thousand, thirty-two".