22313103213000 has 256 divisors, whose sum is σ = 71903969280000. Its totient is φ = 5754904416000.

The previous prime is 22313103212977. The next prime is 22313103213007. The reversal of 22313103213000 is 31230131322.

It is a super-3 number, since 3×22313103213000³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22313103213007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163518801 + ... + 163655199.

It is an arithmetic number, because the mean of its divisors is an integer number (280874880000).

Almost surely, 2^{22313103213000} is an apocalyptic number.

22313103213000 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 22313103213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35951984640000).

22313103213000 is an abundant number, since it is smaller than the sum of its proper divisors (49590866067000).

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

22313103213000 is a wasteful number, since it uses less digits than its factorization.

22313103213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138213 (or 138199 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22313103213000 its reverse (31230131322), we get a palindrome (22344333344322).

The spelling of 22313103213000 in words is "twenty-two trillion, three hundred thirteen billion, one hundred three million, two hundred thirteen thousand".