123310131333103 has 16 divisors (see below), whose sum is σ = 151166448631296. Its totient is φ = 98978031836640.

The previous prime is 123310131333079. The next prime is 123310131333119. The reversal of 123310131333103 is 301333131013321.

It is not a de Polignac number, because 123310131333103 - 2²⁵ = 123310097778671 is a prime.

It is a super-3 number, since 3×123310131333103³ (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (123310131333203) 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, 18745836075 + ... + 18745842652.

It is an arithmetic number, because the mean of its divisors is an integer number (9447903039456).

Almost surely, 2^{123310131333103} is an apocalyptic number.

123310131333103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

123310131333103 is a deficient number, since it is larger than the sum of its proper divisors (27856317298193).

123310131333103 is a wasteful number, since it uses less digits than its factorization.

123310131333103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37491678774.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 123310131333103 its reverse (301333131013321), we get a palindrome (424643262346424).

The spelling of 123310131333103 in words is "one hundred twenty-three trillion, three hundred ten billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred three".