10200333213000 has 256 divisors, whose sum is σ = 40412749478400. Its totient is φ = 2331504691200.

The previous prime is 10200333212983. The next prime is 10200333213011. The reversal of 10200333213000 is 31233300201.

10200333213000 is a `hidden beast` number, since 1 + 0 + 200 + 3 + 332 + 130 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26796009 + ... + 27174008.

It is an arithmetic number, because the mean of its divisors is an integer number (157862302650).

Almost surely, 2^{10200333213000} is an apocalyptic number.

10200333213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200333213000 is an abundant number, since it is smaller than the sum of its proper divisors (30212416265400).

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

10200333213000 is a wasteful number, since it uses less digits than its factorization.

10200333213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53970054 (or 53970034 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10200333213000 its reverse (31233300201), we get a palindrome (10231566513201).

The spelling of 10200333213000 in words is "ten trillion, two hundred billion, three hundred thirty-three million, two hundred thirteen thousand".