110031010013 has 2 divisors, whose sum is σ = 110031010014. Its totient is φ = 110031010012.

The previous prime is 110031010009. The next prime is 110031010039. The reversal of 110031010013 is 310010130011.

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., 60940847044 + 49090162969 = 246862^2 + 221563^2 .

It is a cyclic number.

It is not a de Polignac number, because 110031010013 - 2² = 110031010009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110031009976 and 110031010003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110031010813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55015505006 + 55015505007.

It is an arithmetic number, because the mean of its divisors is an integer number (55015505007).

Almost surely, 2^110031010013 is an apocalyptic number.

It is an amenable number.

110031010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110031010013 is an equidigital number, since it uses as much as digits as its factorization.

110031010013 is an evil number, because the sum of its binary digits is even.

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

Adding to 110031010013 its reverse (310010130011), we get a palindrome (420041140024).

The spelling of 110031010013 in words is "one hundred ten billion, thirty-one million, ten thousand, thirteen".