203213013000 has 128 divisors (see below), whose sum is σ = 634214430720. Its totient is φ = 54173913600.

The previous prime is 203213012971. The next prime is 203213013007. The reversal of 203213013000 is 310312302.

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

It is not an unprimeable number, because it can be changed into a prime (203213013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12642969 + ... + 12659031.

It is an arithmetic number, because the mean of its divisors is an integer number (4954800240).

Almost surely, 2^203213013000 is an apocalyptic number.

203213013000 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 203213013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317107215360).

203213013000 is an abundant number, since it is smaller than the sum of its proper divisors (431001417720).

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

203213013000 is a wasteful number, since it uses less digits than its factorization.

203213013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20304 (or 20290 counting only the distinct ones).

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

Adding to 203213013000 its reverse (310312302), we get a palindrome (203523325302).

The spelling of 203213013000 in words is "two hundred three billion, two hundred thirteen million, thirteen thousand".