1000100010031 has 2 divisors, whose sum is σ = 1000100010032. Its totient is φ = 1000100010030.

The previous prime is 1000100010029. The next prime is 1000100010073. The reversal of 1000100010031 is 1300100010001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000100010031 - 2¹ = 1000100010029 is a prime.

It is a super-2 number, since 2×1000100010031² (a number of 25 digits) contains 22 as substring.

Together with 1000100010029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1000100009996 and 1000100010023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000100010431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050005015 + 500050005016.

It is an arithmetic number, because the mean of its divisors is an integer number (500050005016).

Almost surely, 2^{1000100010031} is an apocalyptic number.

1000100010031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000100010031 is an equidigital number, since it uses as much as digits as its factorization.

1000100010031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000100010031 its reverse (1300100010001), we get a palindrome (2300200020032).

The spelling of 1000100010031 in words is "one trillion, one hundred million, ten thousand, thirty-one".