2000103310031 has 2 divisors, whose sum is σ = 2000103310032. Its totient is φ = 2000103310030.

The previous prime is 2000103310013. The next prime is 2000103310039. The reversal of 2000103310031 is 1300133010002.

Together with previous prime (2000103310013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2000103310031 - 2¹⁴ = 2000103293647 is a prime.

It is a super-2 number, since 2×2000103310031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2000103309988 and 2000103310015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000103310039) 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 as a sum of consecutive naturals, namely, 1000051655015 + 1000051655016.

It is an arithmetic number, because the mean of its divisors is an integer number (1000051655016).

Almost surely, 2^{2000103310031} is an apocalyptic number.

2000103310031 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000103310031 is an equidigital number, since it uses as much as digits as its factorization.

2000103310031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 2000103310031 its reverse (1300133010002), we get a palindrome (3300236320033).

The spelling of 2000103310031 in words is "two trillion, one hundred three million, three hundred ten thousand, thirty-one".