13130523055312 has 160 divisors (see below), whose sum is σ = 29172090179232. Its totient is φ = 5671711997952.

The previous prime is 13130523055301. The next prime is 13130523055313. The reversal of 13130523055312 is 21355032503131.

It can be written as a sum of positive squares in 16 ways, for example, as 4575389448256 + 8555133607056 = 2139016^2 + 2924916^2 .

It is a super-2 number, since 2×13130523055312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130523055313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666940718 + ... + 1666948594.

Almost surely, 2^{13130523055312} 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 13130523055312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14586045089616).

13130523055312 is an abundant number, since it is smaller than the sum of its proper divisors (16041567123920).

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

13130523055312 is a wasteful number, since it uses less digits than its factorization.

13130523055312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10505 (or 10499 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 34.

Adding to 13130523055312 its reverse (21355032503131), we get a palindrome (34485555558443).

The spelling of 13130523055312 in words is "thirteen trillion, one hundred thirty billion, five hundred twenty-three million, fifty-five thousand, three hundred twelve".