10003311312201 has 10 divisors (see below), whose sum is σ = 14943218133162. Its totient is φ = 6668874208080.

The previous prime is 10003311312199. The next prime is 10003311312229. The reversal of 10003311312201 is 10221311330001.

10003311312201 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 331 + 1 + 312 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6057387302976 + 3945924009225 = 2461176^2 + 1986435^2 .

It is not a de Polignac number, because 10003311312201 - 2¹ = 10003311312199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10003311312601) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 61748835180 + ... + 61748835341.

Almost surely, 2^{10003311312201} is an apocalyptic number.

It is an amenable number.

10003311312201 is a deficient number, since it is larger than the sum of its proper divisors (4939906820961).

10003311312201 is an equidigital number, since it uses as much as digits as its factorization.

10003311312201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123497670533 (or 123497670524 counting only the distinct ones).

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

Adding to 10003311312201 its reverse (10221311330001), we get a palindrome (20224622642202).

The spelling of 10003311312201 in words is "ten trillion, three billion, three hundred eleven million, three hundred twelve thousand, two hundred one".