210313103000 has 768 divisors, whose sum is σ = 702885980160. Its totient is φ = 56871936000.

The previous prime is 210313102999. The next prime is 210313103029. The reversal of 210313103000 is 301313012.

210313103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 289288637 + ... + 289289363.

It is an arithmetic number, because the mean of its divisors is an integer number (915216120).

Almost surely, 2^210313103000 is an apocalyptic number.

210313103000 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 210313103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351442990080).

210313103000 is an abundant number, since it is smaller than the sum of its proper divisors (492572877160).

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

210313103000 is a wasteful number, since it uses less digits than its factorization.

210313103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 210313103000 its reverse (301313012), we get a palindrome (210614416012).

It can be divided in two parts, 210313 and 103000, that added together give a palindrome (313313).

The spelling of 210313103000 in words is "two hundred ten billion, three hundred thirteen million, one hundred three thousand".