22313103133200 has 480 divisors, whose sum is σ = 78795158787072. Its totient is φ = 5352349440000.

The previous prime is 22313103133187. The next prime is 22313103133207. The reversal of 22313103133200 is 233130131322.

It is a super-3 number, since 3×22313103133200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22313103133207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2649064189 + ... + 2649072611.

Almost surely, 2^{22313103133200} is an apocalyptic number.

22313103133200 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 22313103133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39397579393536).

22313103133200 is an abundant number, since it is smaller than the sum of its proper divisors (56482055653872).

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

22313103133200 is a wasteful number, since it uses less digits than its factorization.

22313103133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10543 (or 10532 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 22313103133200 its reverse (233130131322), we get a palindrome (22546233264522).

The spelling of 22313103133200 in words is "twenty-two trillion, three hundred thirteen billion, one hundred three million, one hundred thirty-three thousand, two hundred".