13101322123232 has 96 divisors (see below), whose sum is σ = 29964196168704. Its totient is φ = 5522257036800.

The previous prime is 13101322123231. The next prime is 13101322123247. The reversal of 13101322123232 is 23232122310131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101322123231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156315257 + ... + 156399047.

It is an arithmetic number, because the mean of its divisors is an integer number (312127043424).

Almost surely, 2^{13101322123232} 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 13101322123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14982098084352).

13101322123232 is an abundant number, since it is smaller than the sum of its proper divisors (16862874045472).

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

13101322123232 is a wasteful number, since it uses less digits than its factorization.

13101322123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95312 (or 95304 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 13101322123232 its reverse (23232122310131), we get a palindrome (36333444433363).

The spelling of 13101322123232 in words is "thirteen trillion, one hundred one billion, three hundred twenty-two million, one hundred twenty-three thousand, two hundred thirty-two".