213110301000 has 192 divisors, whose sum is σ = 676397854080. Its totient is φ = 55863465600.

The previous prime is 213110300993. The next prime is 213110301007. The reversal of 213110301000 is 103011312.

It is an interprime number because it is at equal distance from previous prime (213110300993) and next prime (213110301007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213110301007) by changing a digit.

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, 10432797 + ... + 10453203.

It is an arithmetic number, because the mean of its divisors is an integer number (3522905490).

Almost surely, 2^213110301000 is an apocalyptic number.

213110301000 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 213110301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338198927040).

213110301000 is an abundant number, since it is smaller than the sum of its proper divisors (463287553080).

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

213110301000 is a wasteful number, since it uses less digits than its factorization.

213110301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20549 (or 20476 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213110301000 its reverse (103011312), we get a palindrome (213213312312).

The spelling of 213110301000 in words is "two hundred thirteen billion, one hundred ten million, three hundred one thousand".