12334142324413 has 48 divisors (see below), whose sum is σ = 16176113009280. Its totient is φ = 9176677705728.

The previous prime is 12334142324393. The next prime is 12334142324429. The reversal of 12334142324413 is 31442324143321.

It is a de Polignac number, because none of the positive numbers 2^k-12334142324413 is a prime.

It is a super-2 number, since 2×12334142324413² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12334142324473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22433706 + ... + 22976932.

It is an arithmetic number, because the mean of its divisors is an integer number (337002354360).

Almost surely, 2^{12334142324413} is an apocalyptic number.

12334142324413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12334142324413 is a deficient number, since it is larger than the sum of its proper divisors (3841970684867).

12334142324413 is a wasteful number, since it uses less digits than its factorization.

12334142324413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544406 (or 544393 counting only the distinct ones).

The product of its digits is 165888, while the sum is 37.

Adding to 12334142324413 its reverse (31442324143321), we get a palindrome (43776466467734).

The spelling of 12334142324413 in words is "twelve trillion, three hundred thirty-four billion, one hundred forty-two million, three hundred twenty-four thousand, four hundred thirteen".