213223201103000 has 512 divisors, whose sum is σ = 589094379694080. Its totient is φ = 71445369600000.

The previous prime is 213223201102979. The next prime is 213223201103009. The reversal of 213223201103000 is 301102322312.

It is a super-2 number, since 2×213223201103000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213223201103009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 945348239 + ... + 945573761.

It is an arithmetic number, because the mean of its divisors is an integer number (1150574960340).

Almost surely, 2^{213223201103000} is an apocalyptic number.

213223201103000 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 213223201103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294547189847040).

213223201103000 is an abundant number, since it is smaller than the sum of its proper divisors (375871178591080).

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

213223201103000 is a wasteful number, since it uses less digits than its factorization.

213223201103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225716 (or 225702 counting only the distinct ones).

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

Adding to 213223201103000 its reverse (301102322312), we get a palindrome (213524303425312).

The spelling of 213223201103000 in words is "two hundred thirteen trillion, two hundred twenty-three billion, two hundred one million, one hundred three thousand".