10003010131001 has 4 divisors (see below), whose sum is σ = 10003281347712. Its totient is φ = 10002738914292.

The previous prime is 10003010130977. The next prime is 10003010131021. The reversal of 10003010131001 is 10013101030001.

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 10003010131001 - 2¹⁰ = 10003010129977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10003010131021) 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 3 ways as a sum of consecutive naturals, for example, 135553025 + ... + 135626798.

It is an arithmetic number, because the mean of its divisors is an integer number (2500820336928).

Almost surely, 2^{10003010131001} is an apocalyptic number.

It is an amenable number.

10003010131001 is a deficient number, since it is larger than the sum of its proper divisors (271216711).

10003010131001 is an equidigital number, since it uses as much as digits as its factorization.

10003010131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271216710.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10003010131001 its reverse (10013101030001), we get a palindrome (20016111161002).

The spelling of 10003010131001 in words is "ten trillion, three billion, ten million, one hundred thirty-one thousand, one".