123314331111345 has 96 divisors (see below), whose sum is σ = 243328716693504. Its totient is φ = 57185862940800.

The previous prime is 123314331111319. The next prime is 123314331111347. The reversal of 123314331111345 is 543111133413321.

123314331111345 is a `hidden beast` number, since 1 + 2 + 3 + 314 + 331 + 1 + 1 + 1 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 123314331111345 - 2¹⁸ = 123314330849201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123314331111347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196955340 + ... + 197580450.

It is an arithmetic number, because the mean of its divisors is an integer number (2534674132224).

Almost surely, 2^{123314331111345} is an apocalyptic number.

123314331111345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123314331111345 is a deficient number, since it is larger than the sum of its proper divisors (120014385582159).

123314331111345 is a wasteful number, since it uses less digits than its factorization.

123314331111345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642483 (or 642480 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

Adding to 123314331111345 its reverse (543111133413321), we get a palindrome (666425464524666).

The spelling of 123314331111345 in words is "one hundred twenty-three trillion, three hundred fourteen billion, three hundred thirty-one million, one hundred eleven thousand, three hundred forty-five".