1000110000031 has 2 divisors, whose sum is σ = 1000110000032. Its totient is φ = 1000110000030.

The previous prime is 1000110000023. The next prime is 1000110000049. The reversal of 1000110000031 is 1300000110001.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1000110000031 - 2³ = 1000110000023 is a prime.

It is a super-2 number, since 2×1000110000031² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1000109999969 and 1000110000023.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000110000061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500055000015 + 500055000016.

It is an arithmetic number, because the mean of its divisors is an integer number (500055000016).

Almost surely, 2^{1000110000031} is an apocalyptic number.

1000110000031 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000110000031 is an equidigital number, since it uses as much as digits as its factorization.

1000110000031 is an evil number, because the sum of its binary digits is even.

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

Adding to 1000110000031 its reverse (1300000110001), we get a palindrome (2300110110032).

The spelling of 1000110000031 in words is "one trillion, one hundred ten million, thirty-one", and thus it is an aban number.