10213033123200 has 288 divisors, whose sum is σ = 35165358413640. Its totient is φ = 2605062225920.

The previous prime is 10213033123157. The next prime is 10213033123283. The reversal of 10213033123200 is 232133031201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4072864 + ... + 6083936.

Almost surely, 2^{10213033123200} is an apocalyptic number.

10213033123200 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 10213033123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582679206820).

10213033123200 is an abundant number, since it is smaller than the sum of its proper divisors (24952325290440).

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

10213033123200 is a wasteful number, since it uses less digits than its factorization.

10213033123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011146 (or 2011106 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10213033123200 its reverse (232133031201), we get a palindrome (10445166154401).

The spelling of 10213033123200 in words is "ten trillion, two hundred thirteen billion, thirty-three million, one hundred twenty-three thousand, two hundred".