110003131013301 has 12 divisors (see below), whose sum is σ = 158895690053100. Its totient is φ = 73334369018880.

The previous prime is 110003131013287. The next prime is 110003131013311. The reversal of 110003131013301 is 103310131300011.

110003131013301 is a `hidden beast` number, since 1 + 10 + 0 + 0 + 31 + 310 + 13 + 301 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89218887080625 + 20784243932676 = 9445575^2 + 4558974^2 .

It is not a de Polignac number, because 110003131013301 - 2¹¹ = 110003131011253 is a prime.

It is a super-3 number, since 3×110003131013301³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110003131013311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86975326 + ... + 88231023.

It is an arithmetic number, because the mean of its divisors is an integer number (13241307504425).

Almost surely, 2^{110003131013301} is an apocalyptic number.

It is an amenable number.

110003131013301 is a deficient number, since it is larger than the sum of its proper divisors (48892559039799).

110003131013301 is a wasteful number, since it uses less digits than its factorization.

110003131013301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175276116 (or 175276113 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 110003131013301 its reverse (103310131300011), we get a palindrome (213313262313312).

The spelling of 110003131013301 in words is "one hundred ten trillion, three billion, one hundred thirty-one million, thirteen thousand, three hundred one".