13101312133112 has 256 divisors, whose sum is σ = 30299111424000. Its totient is φ = 5186638904832.

The previous prime is 13101312133109. The next prime is 13101312133123. The reversal of 13101312133112 is 21133121310131.

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, 4608268763 + ... + 4608271605.

It is an arithmetic number, because the mean of its divisors is an integer number (118355904000).

Almost surely, 2^{13101312133112} 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 13101312133112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15149555712000).

13101312133112 is an abundant number, since it is smaller than the sum of its proper divisors (17197799290888).

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

13101312133112 is a wasteful number, since it uses less digits than its factorization.

13101312133112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 13101312133112 its reverse (21133121310131), we get a palindrome (34234433443243).

The spelling of 13101312133112 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred twelve".