13112312213312 has 224 divisors, whose sum is σ = 30490968910752. Its totient is φ = 5538355347456.

The previous prime is 13112312213309. The next prime is 13112312213317. The reversal of 13112312213312 is 21331221321131.

It can be written as a sum of positive squares in 16 ways, for example, as 7840806420736 + 5271505792576 = 2800144^2 + 2295976^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112312213317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917386838 + ... + 917401130.

It is an arithmetic number, because the mean of its divisors is an integer number (136120396923).

Almost surely, 2^{13112312213312} 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 13112312213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245484455376).

13112312213312 is an abundant number, since it is smaller than the sum of its proper divisors (17378656697440).

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

13112312213312 is a wasteful number, since it uses less digits than its factorization.

13112312213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16125 (or 16115 counting only the distinct ones).

The product of its digits is 1296, while the sum is 26.

Adding to 13112312213312 its reverse (21331221321131), we get a palindrome (34443533534443).

The spelling of 13112312213312 in words is "thirteen trillion, one hundred twelve billion, three hundred twelve million, two hundred thirteen thousand, three hundred twelve".