10103311320201 has 160 divisors (see below), whose sum is σ = 17542321505280. Its totient is φ = 5730562857600.

The previous prime is 10103311320199. The next prime is 10103311320241. The reversal of 10103311320201 is 10202311330101.

10103311320201 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 331 + 132 + 0 + 201 = 666.

It is not a de Polignac number, because 10103311320201 - 2¹ = 10103311320199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10103311320241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 734085346 + ... + 734099108.

It is an arithmetic number, because the mean of its divisors is an integer number (109639509408).

Almost surely, 2^{10103311320201} is an apocalyptic number.

10103311320201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10103311320201 is a deficient number, since it is larger than the sum of its proper divisors (7439010185079).

10103311320201 is a wasteful number, since it uses less digits than its factorization.

10103311320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14329 (or 14320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103311320201 its reverse (10202311330101), we get a palindrome (20305622650302).

The spelling of 10103311320201 in words is "ten trillion, one hundred three billion, three hundred eleven million, three hundred twenty thousand, two hundred one".