22101332001300 has 144 divisors (see below), whose sum is σ = 71110860419200. Its totient is φ = 5888780352000.

The previous prime is 22101332001227. The next prime is 22101332001319. The reversal of 22101332001300 is 310023310122.

22101332001300 is a `hidden beast` number, since 2 + 210 + 1 + 3 + 320 + 0 + 130 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165160 + ... + 6650559.

Almost surely, 2^{22101332001300} is an apocalyptic number.

22101332001300 is a gapful number since it is divisible by the number (20) 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 22101332001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35555430209600).

22101332001300 is an abundant number, since it is smaller than the sum of its proper divisors (49009528417900).

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

22101332001300 is a wasteful number, since it uses less digits than its factorization.

22101332001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816943 (or 6816930 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 22101332001300 its reverse (310023310122), we get a palindrome (22411355311422).

The spelling of 22101332001300 in words is "twenty-two trillion, one hundred one billion, three hundred thirty-two million, one thousand, three hundred".