10213312330200 has 384 divisors, whose sum is σ = 38302573478400. Its totient is φ = 2201553285120.

The previous prime is 10213312330163. The next prime is 10213312330211. The reversal of 10213312330200 is 203321331201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4262364 + ... + 6212436.

It is an arithmetic number, because the mean of its divisors is an integer number (99746285100).

Almost surely, 2^{10213312330200} is an apocalyptic number.

10213312330200 is a gapful number since it is divisible by the number (10) 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 10213312330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151286739200).

10213312330200 is an abundant number, since it is smaller than the sum of its proper divisors (28089261148200).

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

10213312330200 is a wasteful number, since it uses less digits than its factorization.

10213312330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1950171 (or 1950162 counting only the distinct ones).

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

Adding to 10213312330200 its reverse (203321331201), we get a palindrome (10416633661401).

The spelling of 10213312330200 in words is "ten trillion, two hundred thirteen billion, three hundred twelve million, three hundred thirty thousand, two hundred".