103110003131031 has 64 divisors (see below), whose sum is σ = 165414617034240. Its totient is φ = 63102307806720.

The previous prime is 103110003130999. The next prime is 103110003131207. The reversal of 103110003131031 is 130131300011301.

103110003131031 is a `hidden beast` number, since 1 + 0 + 311 + 0 + 0 + 0 + 313 + 10 + 31 = 666.

It is not a de Polignac number, because 103110003131031 - 2⁵ = 103110003130999 is a prime.

It is a super-2 number, since 2×103110003131031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103110003130995 and 103110003131013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103110003131431) 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 63 ways as a sum of consecutive naturals, for example, 94477695 + ... + 95562831.

It is an arithmetic number, because the mean of its divisors is an integer number (2584603391160).

Almost surely, 2^{103110003131031} is an apocalyptic number.

103110003131031 is a deficient number, since it is larger than the sum of its proper divisors (62304613903209).

103110003131031 is a wasteful number, since it uses less digits than its factorization.

103110003131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086653 (or 1086647 counting only the distinct ones).

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

Adding to 103110003131031 its reverse (130131300011301), we get a palindrome (233241303142332).

The spelling of 103110003131031 in words is "one hundred three trillion, one hundred ten billion, three million, one hundred thirty-one thousand, thirty-one".