213000310203000 has 256 divisors, whose sum is σ = 665214404774400. Its totient is φ = 56744258918400.

The previous prime is 213000310202993. The next prime is 213000310203001. The reversal of 213000310203000 is 302013000312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213000310203001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23184964407 + ... + 23184973593.

It is an arithmetic number, because the mean of its divisors is an integer number (2598493768650).

Almost surely, 2^{213000310203000} is an apocalyptic number.

213000310203000 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 213000310203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332607202387200).

213000310203000 is an abundant number, since it is smaller than the sum of its proper divisors (452214094571400).

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

213000310203000 is a wasteful number, since it uses less digits than its factorization.

213000310203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15967 (or 15953 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213000310203000 its reverse (302013000312), we get a palindrome (213302323203312).

The spelling of 213000310203000 in words is "two hundred thirteen trillion, three hundred ten million, two hundred three thousand".