13101320234424 has 256 divisors, whose sum is σ = 35572027392000. Its totient is φ = 4008596641280.

The previous prime is 13101320234419. The next prime is 13101320234473. The reversal of 13101320234424 is 42443202310131.

It is a super-2 number, since 2×13101320234424² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101320234391 and 13101320234400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2394682009 + ... + 2394687479.

It is an arithmetic number, because the mean of its divisors is an integer number (138953232000).

Almost surely, 2^{13101320234424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101320234424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17786013696000).

13101320234424 is an abundant number, since it is smaller than the sum of its proper divisors (22470707157576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13101320234424 is a wasteful number, since it uses less digits than its factorization.

13101320234424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6418 (or 6414 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13101320234424 its reverse (42443202310131), we get a palindrome (55544522544555).

The spelling of 13101320234424 in words is "thirteen trillion, one hundred one billion, three hundred twenty million, two hundred thirty-four thousand, four hundred twenty-four".