13132311312 has 80 divisors (see below), whose sum is σ = 34516044800. Its totient is φ = 4301337600.

The previous prime is 13132311307. The next prime is 13132311397. The reversal of 13132311312 is 21311323131.

It is a happy number.

13132311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13132311312² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4305564 + ... + 4308612.

It is an arithmetic number, because the mean of its divisors is an integer number (431450560).

Almost surely, 2^13132311312 is an apocalyptic number.

13132311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17258022400).

13132311312 is an abundant number, since it is smaller than the sum of its proper divisors (21383733488).

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

13132311312 is a wasteful number, since it uses less digits than its factorization.

13132311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 4586 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 13132311312 its reverse (21311323131), we get a palindrome (34443634443).

The spelling of 13132311312 in words is "thirteen billion, one hundred thirty-two million, three hundred eleven thousand, three hundred twelve".