203013002000 has 160 divisors (see below), whose sum is σ = 508362757344. Its totient is φ = 78364416000.

The previous prime is 203013001987. The next prime is 203013002021. The reversal of 203013002000 is 200310302.

It can be written as a sum of positive squares in 16 ways, for example, as 179562367504 + 23450634496 = 423748^2 + 153136^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6450302 + ... + 6481698.

Almost surely, 2^203013002000 is an apocalyptic number.

203013002000 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 203013002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254181378672).

203013002000 is an abundant number, since it is smaller than the sum of its proper divisors (305349755344).

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

203013002000 is a wasteful number, since it uses less digits than its factorization.

203013002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31534 (or 31518 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

Adding to 203013002000 its reverse (200310302), we get a palindrome (203213312302).

The spelling of 203013002000 in words is "two hundred three billion, thirteen million, two thousand".