110131020013 has 10 divisors (see below), whose sum is σ = 128478548014. Its totient is φ = 94398015096.

The previous prime is 110131020001. The next prime is 110131020029. The reversal of 110131020013 is 310020131011.

It can be written as a sum of positive squares in only one way, i.e., 85344611044 + 24786408969 = 292138^2 + 157437^2 .

It is not a de Polignac number, because 110131020013 - 2²⁵ = 110097465581 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110131019975 and 110131020002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110131020073) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22932006 + ... + 22936807.

Almost surely, 2^110131020013 is an apocalyptic number.

It is an amenable number.

110131020013 is a deficient number, since it is larger than the sum of its proper divisors (18347528001).

110131020013 is an frugal number, since it uses more digits than its factorization.

110131020013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45868841 (or 45868820 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 110131020013 its reverse (310020131011), we get a palindrome (420151151024).

The spelling of 110131020013 in words is "one hundred ten billion, one hundred thirty-one million, twenty thousand, thirteen".