10201320233000 has 64 divisors (see below), whose sum is σ = 25707327019920. Its totient is φ = 3766641312000.

The previous prime is 10201320232993. The next prime is 10201320233057. The reversal of 10201320233000 is 33202310201.

It can be written as a sum of positive squares in 8 ways, for example, as 1469094291844 + 8732225941156 = 1212062^2 + 2955034^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10201320233000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392345471 + ... + 392371470.

Almost surely, 2^{10201320233000} is an apocalyptic number.

10201320233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201320233000 is an abundant number, since it is smaller than the sum of its proper divisors (15506006786920).

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

10201320233000 is a wasteful number, since it uses less digits than its factorization.

10201320233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784716975 (or 784716961 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10201320233000 its reverse (33202310201), we get a palindrome (10234522543201).

The spelling of 10201320233000 in words is "ten trillion, two hundred one billion, three hundred twenty million, two hundred thirty-three thousand".