13032000020312 has 384 divisors, whose sum is σ = 31636422720000. Its totient is φ = 4985257052160.

The previous prime is 13032000020293. The next prime is 13032000020323. The reversal of 13032000020312 is 21302000023031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15758161643 + ... + 15758162469.

It is an arithmetic number, because the mean of its divisors is an integer number (82386517500).

Almost surely, 2^{13032000020312} 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 13032000020312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15818211360000).

13032000020312 is an abundant number, since it is smaller than the sum of its proper divisors (18604422699688).

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

13032000020312 is a wasteful number, since it uses less digits than its factorization.

13032000020312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13032000020312 its reverse (21302000023031), we get a palindrome (34334000043343).

The spelling of 13032000020312 in words is "thirteen trillion, thirty-two billion, twenty thousand, three hundred twelve".