110131013 has 2 divisors, whose sum is σ = 110131014. Its totient is φ = 110131012.

The previous prime is 110131001. The next prime is 110131027. The reversal of 110131013 is 310131011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83484769 + 26646244 = 9137^2 + 5162^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131013 - 2⁴ = 110130997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110130985 and 110131003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110131033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065506 + 55065507.

It is an arithmetic number, because the mean of its divisors is an integer number (55065507).

Almost surely, 2^110131013 is an apocalyptic number.

It is an amenable number.

110131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131013 is an equidigital number, since it uses as much as digits as its factorization.

110131013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 110131013 is about 10494.3324227890. The cubic root of 110131013 is about 479.3321339598.

Adding to 110131013 its reverse (310131011), we get a palindrome (420262024).

The spelling of 110131013 in words is "one hundred ten million, one hundred thirty-one thousand, thirteen".