10003130331301 has 8 divisors (see below), whose sum is σ = 10592219678040. Its totient is φ = 9414115419648.

The previous prime is 10003130331287. The next prime is 10003130331331. The reversal of 10003130331301 is 10313303130001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4666226421025 + 5336903910276 = 2160145^2 + 2310174^2 .

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-10003130331301 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 (10003130331331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18331966 + ... + 18869743.

It is an arithmetic number, because the mean of its divisors is an integer number (1324027459755).

Almost surely, 2^{10003130331301} is an apocalyptic number.

It is an amenable number.

10003130331301 is a deficient number, since it is larger than the sum of its proper divisors (589089346739).

10003130331301 is a wasteful number, since it uses less digits than its factorization.

10003130331301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37217543.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10003130331301 its reverse (10313303130001), we get a palindrome (20316433461302).

The spelling of 10003130331301 in words is "ten trillion, three billion, one hundred thirty million, three hundred thirty-one thousand, three hundred one".