10203133000200 has 384 divisors, whose sum is σ = 37043316576000. Its totient is φ = 2274907115520.

The previous prime is 10203133000121. The next prime is 10203133000219. The reversal of 10203133000200 is 200033130201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10203133000200.

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 95 ways as a sum of consecutive naturals, for example, 38377326 + ... + 38642274.

It is an arithmetic number, because the mean of its divisors is an integer number (96466970250).

Almost surely, 2^{10203133000200} is an apocalyptic number.

10203133000200 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 10203133000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18521658288000).

10203133000200 is an abundant number, since it is smaller than the sum of its proper divisors (26840183575800).

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

10203133000200 is a wasteful number, since it uses less digits than its factorization.

10203133000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265201 (or 265192 counting only the distinct ones).

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

Adding to 10203133000200 its reverse (200033130201), we get a palindrome (10403166130401).

The spelling of 10203133000200 in words is "ten trillion, two hundred three billion, one hundred thirty-three million, two hundred", and thus it is an aban number.