123312303033101 has 48 divisors (see below), whose sum is σ = 154248934884480. Its totient is φ = 96516700600320.

The previous prime is 123312303033071. The next prime is 123312303033131. The reversal of 123312303033101 is 101330303213321.

It is an interprime number because it is at equal distance from previous prime (123312303033071) and next prime (123312303033131).

It is not a de Polignac number, because 123312303033101 - 2⁴⁶ = 52943558855437 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 (123312303033131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68761490 + ... + 70532028.

It is an arithmetic number, because the mean of its divisors is an integer number (3213519476760).

Almost surely, 2^{123312303033101} is an apocalyptic number.

It is an amenable number.

123312303033101 is a deficient number, since it is larger than the sum of its proper divisors (30936631851379).

123312303033101 is a wasteful number, since it uses less digits than its factorization.

123312303033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771206 (or 1771193 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 123312303033101 its reverse (101330303213321), we get a palindrome (224642606246422).

The spelling of 123312303033101 in words is "one hundred twenty-three trillion, three hundred twelve billion, three hundred three million, thirty-three thousand, one hundred one".