13122334342431 has 64 divisors (see below), whose sum is σ = 20715773276160. Its totient is φ = 8181062830080.

The previous prime is 13122334342391. The next prime is 13122334342489. The reversal of 13122334342431 is 13424343322131.

13122334342431 is a `hidden beast` number, since 1 + 3 + 1 + 223 + 3 + 4 + 3 + 424 + 3 + 1 = 666.

It is not a de Polignac number, because 13122334342431 - 2¹⁸ = 13122334080287 is a prime.

It is a super-2 number, since 2×13122334342431² (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 (13122334342231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58675735 + ... + 58898951.

It is an arithmetic number, because the mean of its divisors is an integer number (323683957440).

Almost surely, 2^{13122334342431} is an apocalyptic number.

13122334342431 is a deficient number, since it is larger than the sum of its proper divisors (7593438933729).

13122334342431 is a wasteful number, since it uses less digits than its factorization.

13122334342431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224061 (or 224055 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 13122334342431 its reverse (13424343322131), we get a palindrome (26546677664562).

The spelling of 13122334342431 in words is "thirteen trillion, one hundred twenty-two billion, three hundred thirty-four million, three hundred forty-two thousand, four hundred thirty-one".