10003100133121 has 8 divisors (see below), whose sum is σ = 10361183353920. Its totient is φ = 9645893494608.

The previous prime is 10003100133109. The next prime is 10003100133137. The reversal of 10003100133121 is 12133100130001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10003100133121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10003100133095 and 10003100133104.

It is not an unprimeable number, because it can be changed into a prime (10003100133721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219122341 + ... + 219167986.

It is an arithmetic number, because the mean of its divisors is an integer number (1295147919240).

Almost surely, 2^{10003100133121} is an apocalyptic number.

It is an amenable number.

10003100133121 is a deficient number, since it is larger than the sum of its proper divisors (358083220799).

10003100133121 is an equidigital number, since it uses as much as digits as its factorization.

10003100133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438291143.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10003100133121 its reverse (12133100130001), we get a palindrome (22136200263122).

The spelling of 10003100133121 in words is "ten trillion, three billion, one hundred million, one hundred thirty-three thousand, one hundred twenty-one".