10200213303000 has 256 divisors, whose sum is σ = 36509359011840. Its totient is φ = 2322611136000.

The previous prime is 10200213302989. The next prime is 10200213303053. The reversal of 10200213303000 is 30331200201.

10200213303000 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4599570 + ... + 6446430.

It is an arithmetic number, because the mean of its divisors is an integer number (142614683640).

Almost surely, 2^{10200213303000} is an apocalyptic number.

10200213303000 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 10200213303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18254679505920).

10200213303000 is an abundant number, since it is smaller than the sum of its proper divisors (26309145708840).

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

10200213303000 is a wasteful number, since it uses less digits than its factorization.

10200213303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847155 (or 1847141 counting only the distinct ones).

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

Adding to 10200213303000 its reverse (30331200201), we get a palindrome (10230544503201).

The spelling of 10200213303000 in words is "ten trillion, two hundred billion, two hundred thirteen million, three hundred three thousand".