110003121131131 has 16 divisors (see below), whose sum is σ = 117068819171040. Its totient is φ = 103003559124480.

The previous prime is 110003121131129. The next prime is 110003121131159. The reversal of 110003121131131 is 131131121300011.

It is a cyclic number.

It is not a de Polignac number, because 110003121131131 - 2¹ = 110003121131129 is a prime.

It is a super-3 number, since 3×110003121131131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110003121131099 and 110003121131108.

It is not an unprimeable number, because it can be changed into a prime (110003121101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109275841 + ... + 110277901.

It is an arithmetic number, because the mean of its divisors is an integer number (7316801198190).

Almost surely, 2^{110003121131131} is an apocalyptic number.

110003121131131 is a deficient number, since it is larger than the sum of its proper divisors (7065698039909).

110003121131131 is a wasteful number, since it uses less digits than its factorization.

110003121131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035054.

The product of its (nonzero) digits is 54, while the sum is 19.

Adding to 110003121131131 its reverse (131131121300011), we get a palindrome (241134242431142).

The spelling of 110003121131131 in words is "one hundred ten trillion, three billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-one".