1011120113 has 2 divisors, whose sum is σ = 1011120114. Its totient is φ = 1011120112.

The previous prime is 1011120049. The next prime is 1011120137. The reversal of 1011120113 is 3110211101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 714867169 + 296252944 = 26737^2 + 17212^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011120113 - 2⁶ = 1011120049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011120094 and 1011120103.

It is not a weakly prime, because it can be changed into another prime (1011120163) 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, 505560056 + 505560057.

It is an arithmetic number, because the mean of its divisors is an integer number (505560057).

Almost surely, 2^1011120113 is an apocalyptic number.

It is an amenable number.

1011120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011120113 is an equidigital number, since it uses as much as digits as its factorization.

1011120113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 1011120113 is about 31798.1149284042. The cubic root of 1011120113 is about 1003.6930489336.

Adding to 1011120113 its reverse (3110211101), we get a palindrome (4121331214).

The spelling of 1011120113 in words is "one billion, eleven million, one hundred twenty thousand, one hundred thirteen".