22101313200032 has 144 divisors (see below), whose sum is σ = 50566236729120. Its totient is φ = 9475378260480.

The previous prime is 22101313199971. The next prime is 22101313200053. The reversal of 22101313200032 is 23000231310122.

It is a junction number, because it is equal to n+sod(n) for n = 22101313199977 and 22101313200013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16038218 + ... + 17361654.

It is an arithmetic number, because the mean of its divisors is an integer number (351154421730).

Almost surely, 2^{22101313200032} is an apocalyptic number.

22101313200032 is a gapful number since it is divisible by the number (22) 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 22101313200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25283118364560).

22101313200032 is an abundant number, since it is smaller than the sum of its proper divisors (28464923529088).

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

22101313200032 is a wasteful number, since it uses less digits than its factorization.

22101313200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1323715 (or 1323696 counting only the distinct ones).

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

Adding to 22101313200032 its reverse (23000231310122), we get a palindrome (45101544510154).

The spelling of 22101313200032 in words is "twenty-two trillion, one hundred one billion, three hundred thirteen million, two hundred thousand, thirty-two".