123300311303101 has 8 divisors (see below), whose sum is σ = 123454423193400. Its totient is φ = 123146203614720.

The previous prime is 123300311303069. The next prime is 123300311303129. The reversal of 123300311303101 is 101303113003321.

It can be written as a sum of positive squares in 4 ways, for example, as 58169374803225 + 65130936499876 = 7626885^2 + 8070374^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123300311303101 - 2⁵ = 123300311303069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123300311304101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59880181 + ... + 61905061.

It is an arithmetic number, because the mean of its divisors is an integer number (15431802899175).

Almost surely, 2^{123300311303101} is an apocalyptic number.

It is an amenable number.

123300311303101 is a deficient number, since it is larger than the sum of its proper divisors (154111890299).

123300311303101 is an equidigital number, since it uses as much as digits as its factorization.

123300311303101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100959.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 123300311303101 its reverse (101303113003321), we get a palindrome (224603424306422).

The spelling of 123300311303101 in words is "one hundred twenty-three trillion, three hundred billion, three hundred eleven million, three hundred three thousand, one hundred one".