123103143313100 has 144 divisors (see below), whose sum is σ = 272316514377600. Its totient is φ = 48295301760000.

The previous prime is 123103143313091. The next prime is 123103143313109. The reversal of 123103143313100 is 1313341301321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123103143313091) and next prime (123103143313109).

It is a super-3 number, since 3×123103143313100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 123103143313100.

It is not an unprimeable number, because it can be changed into a prime (123103143313109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6075856970 + ... + 6075877230.

It is an arithmetic number, because the mean of its divisors is an integer number (1891086905400).

Almost surely, 2^{123103143313100} is an apocalyptic number.

123103143313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103143313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136158257188800).

123103143313100 is an abundant number, since it is smaller than the sum of its proper divisors (149213371064500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123103143313100 is a wasteful number, since it uses less digits than its factorization.

123103143313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26004 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 123103143313100 its reverse (1313341301321), we get a palindrome (124416484614421).

The spelling of 123103143313100 in words is "one hundred twenty-three trillion, one hundred three billion, one hundred forty-three million, three hundred thirteen thousand, one hundred".