10200224320133 has 8 divisors (see below), whose sum is σ = 10208764101888. Its totient is φ = 10191685581504.

The previous prime is 10200224320093. The next prime is 10200224320157. The reversal of 10200224320133 is 33102342200201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10200224320133 - 2²² = 10200220125829 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10200224320099 and 10200224320108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200224320163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19958810 + ... + 20463492.

It is an arithmetic number, because the mean of its divisors is an integer number (1276095512736).

Almost surely, 2^{10200224320133} is an apocalyptic number.

It is an amenable number.

10200224320133 is a deficient number, since it is larger than the sum of its proper divisors (8539781755).

10200224320133 is a wasteful number, since it uses less digits than its factorization.

10200224320133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521563.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10200224320133 its reverse (33102342200201), we get a palindrome (43302566520334).

The spelling of 10200224320133 in words is "ten trillion, two hundred billion, two hundred twenty-four million, three hundred twenty thousand, one hundred thirty-three".