10003100133101 has 4 divisors (see below), whose sum is σ = 10075064882400. Its totient is φ = 9931135383804.

The previous prime is 10003100133083. The next prime is 10003100133109. The reversal of 10003100133101 is 10133100130001.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10003100133101 - 2³⁰ = 10002026391277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003100133109) 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 3 ways as a sum of consecutive naturals, for example, 35982374441 + ... + 35982374718.

It is an arithmetic number, because the mean of its divisors is an integer number (2518766220600).

Almost surely, 2^{10003100133101} is an apocalyptic number.

It is an amenable number.

10003100133101 is a deficient number, since it is larger than the sum of its proper divisors (71964749299).

10003100133101 is an equidigital number, since it uses as much as digits as its factorization.

10003100133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71964749298.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10003100133101 its reverse (10133100130001), we get a palindrome (20136200263102).

The spelling of 10003100133101 in words is "ten trillion, three billion, one hundred million, one hundred thirty-three thousand, one hundred one".