123213221113313 has 8 divisors (see below), whose sum is σ = 124006667365800. Its totient is φ = 122419884337920.

The previous prime is 123213221113291. The next prime is 123213221113349. The reversal of 123213221113313 is 313311122312321.

It can be written as a sum of positive squares in 4 ways, for example, as 11891793608704 + 111321427504609 = 3448448^2 + 10550897^2 .

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 123213221113313 - 2³² = 123208926146017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123213221112313) 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, 25110488 + ... + 29613561.

It is an arithmetic number, because the mean of its divisors is an integer number (15500833420725).

Almost surely, 2^{123213221113313} is an apocalyptic number.

It is an amenable number.

123213221113313 is a deficient number, since it is larger than the sum of its proper divisors (793446252487).

123213221113313 is a wasteful number, since it uses less digits than its factorization.

123213221113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54738547.

The product of its digits is 3888, while the sum is 29.

Adding to 123213221113313 its reverse (313311122312321), we get a palindrome (436524343425634).

The spelling of 123213221113313 in words is "one hundred twenty-three trillion, two hundred thirteen billion, two hundred twenty-one million, one hundred thirteen thousand, three hundred thirteen".