100323313000201 has 8 divisors (see below), whose sum is σ = 108228923681544. Its totient is φ = 92640395577600.

The previous prime is 100323313000181. The next prime is 100323313000241. The reversal of 100323313000201 is 102000313323001.

It can be written as a sum of positive squares in 4 ways, for example, as 39766279214601 + 60557033785600 = 6306051^2 + 7781840^2 .

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 100323313000201 - 2⁷ = 100323313000073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100323313000241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55673313750 + ... + 55673315551.

It is an arithmetic number, because the mean of its divisors is an integer number (13528615460193).

Almost surely, 2^{100323313000201} is an apocalyptic number.

It is an amenable number.

100323313000201 is a deficient number, since it is larger than the sum of its proper divisors (7905610681343).

100323313000201 is a wasteful number, since it uses less digits than its factorization.

100323313000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111346629371.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100323313000201 its reverse (102000313323001), we get a palindrome (202323626323202).

The spelling of 100323313000201 in words is "one hundred trillion, three hundred twenty-three billion, three hundred thirteen million, two hundred one", and thus it is an aban number.