13101344124232 has 256 divisors, whose sum is σ = 31239927290880. Its totient is φ = 5012272742400.

The previous prime is 13101344124103. The next prime is 13101344124263. The reversal of 13101344124232 is 23242144310131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13101344124194 and 13101344124203.

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, 4005300757 + ... + 4005304027.

It is an arithmetic number, because the mean of its divisors is an integer number (122030965980).

Almost surely, 2^{13101344124232} 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 13101344124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15619963645440).

13101344124232 is an abundant number, since it is smaller than the sum of its proper divisors (18138583166648).

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

13101344124232 is a wasteful number, since it uses less digits than its factorization.

13101344124232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4192 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 13101344124232 its reverse (23242144310131), we get a palindrome (36343488434363).

The spelling of 13101344124232 in words is "thirteen trillion, one hundred one billion, three hundred forty-four million, one hundred twenty-four thousand, two hundred thirty-two".