123334005523313 has 12 divisors (see below), whose sum is σ = 138847152946740. Its totient is φ = 108896914569696.

The previous prime is 123334005523237. The next prime is 123334005523387. The reversal of 123334005523313 is 313325500433321.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48759174631729 + 74574830891584 = 6982777^2 + 8635672^2 .

It is not a de Polignac number, because 123334005523313 - 2¹⁶ = 123334005457777 is a prime.

It is a super-2 number, since 2×123334005523313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123334005523013) 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, 8967130358 + ... + 8967144111.

It is an arithmetic number, because the mean of its divisors is an integer number (11570596078895).

Almost surely, 2^{123334005523313} is an apocalyptic number.

123334005523313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

123334005523313 is a deficient number, since it is larger than the sum of its proper divisors (15513147423427).

123334005523313 is a wasteful number, since it uses less digits than its factorization.

123334005523313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934274528 (or 17934274505 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 38.

Adding to 123334005523313 its reverse (313325500433321), we get a palindrome (436659505956634).

The spelling of 123334005523313 in words is "one hundred twenty-three trillion, three hundred thirty-four billion, five million, five hundred twenty-three thousand, three hundred thirteen".