22313103303200 has 144 divisors (see below), whose sum is σ = 54701469585000. Its totient is φ = 8887697571840.

The previous prime is 22313103303181. The next prime is 22313103303233. The reversal of 22313103303200 is 230330131322.

It can be written as a sum of positive squares in 12 ways, for example, as 1093187349136 + 21219915954064 = 1045556^2 + 4606508^2 .

It is a super-3 number, since 3×22313103303200³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 186116876 + ... + 186236724.

Almost surely, 2^{22313103303200} is an apocalyptic number.

22313103303200 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 22313103303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27350734792500).

22313103303200 is an abundant number, since it is smaller than the sum of its proper divisors (32388366281800).

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

22313103303200 is a wasteful number, since it uses less digits than its factorization.

22313103303200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120847 (or 120834 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 22313103303200 its reverse (230330131322), we get a palindrome (22543433434522).

The spelling of 22313103303200 in words is "twenty-two trillion, three hundred thirteen billion, one hundred three million, three hundred three thousand, two hundred".