123314415132233 has 12 divisors (see below), whose sum is σ = 135718823766348. Its totient is φ = 111962646768960.

The previous prime is 123314415132143. The next prime is 123314415132269. The reversal of 123314415132233 is 332231514413321.

It can be written as a sum of positive squares in 6 ways, for example, as 79463888719504 + 43850526412729 = 8914252^2 + 6621973^2 .

It is not a de Polignac number, because 123314415132233 - 2⁴² = 118916368621129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123314415102233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5980900310 + ... + 5980920927.

It is an arithmetic number, because the mean of its divisors is an integer number (11309901980529).

Almost surely, 2^{123314415132233} is an apocalyptic number.

123314415132233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123314415132233 is a deficient number, since it is larger than the sum of its proper divisors (12404408634115).

123314415132233 is a wasteful number, since it uses less digits than its factorization.

123314415132233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961821324 (or 11961821311 counting only the distinct ones).

The product of its digits is 155520, while the sum is 38.

Adding to 123314415132233 its reverse (332231514413321), we get a palindrome (455545929545554).

The spelling of 123314415132233 in words is "one hundred twenty-three trillion, three hundred fourteen billion, four hundred fifteen million, one hundred thirty-two thousand, two hundred thirty-three".