1031106113 has 2 divisors, whose sum is σ = 1031106114. Its totient is φ = 1031106112.

The previous prime is 1031106103. The next prime is 1031106127. The reversal of 1031106113 is 3116011301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 568727104 + 462379009 = 23848^2 + 21503^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1031106113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031106091 and 1031106100.

It is not a weakly prime, because it can be changed into another prime (1031106103) 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 as a sum of consecutive naturals, namely, 515553056 + 515553057.

It is an arithmetic number, because the mean of its divisors is an integer number (515553057).

Almost surely, 2^1031106113 is an apocalyptic number.

It is an amenable number.

1031106113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031106113 is an equidigital number, since it uses as much as digits as its factorization.

1031106113 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 17.

The square root of 1031106113 is about 32110.8410509597. The cubic root of 1031106113 is about 1010.2630145334.

Adding to 1031106113 its reverse (3116011301), we get a palindrome (4147117414).

The spelling of 1031106113 in words is "one billion, thirty-one million, one hundred six thousand, one hundred thirteen".