123103313203232 has 96 divisors (see below), whose sum is σ = 262103060072448. Its totient is φ = 56692546011136.

The previous prime is 123103313203231. The next prime is 123103313203267. The reversal of 123103313203232 is 232302313301321.

It is a super-3 number, since 3×123103313203232³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 123103313203195 and 123103313203204.

It is not an unprimeable number, because it can be changed into a prime (123103313203231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 252547328 + ... + 253034304.

It is an arithmetic number, because the mean of its divisors is an integer number (2730240209088).

Almost surely, 2^{123103313203232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123103313203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131051530036224).

123103313203232 is an abundant number, since it is smaller than the sum of its proper divisors (138999746869216).

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

123103313203232 is a wasteful number, since it uses less digits than its factorization.

123103313203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496938 (or 496930 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 123103313203232 its reverse (232302313301321), we get a palindrome (355405626504553).

The spelling of 123103313203232 in words is "one hundred twenty-three trillion, one hundred three billion, three hundred thirteen million, two hundred three thousand, two hundred thirty-two".