13312013212120 has 128 divisors (see below), whose sum is σ = 34744562703360. Its totient is φ = 4495640117760.

The previous prime is 13312013212093. The next prime is 13312013212139. The reversal of 13312013212120 is 2121231021331.

13312013212120 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 2×13312013212120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13312013212091 and 13312013212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354864165 + ... + 354901675.

It is an arithmetic number, because the mean of its divisors is an integer number (271441896120).

Almost surely, 2^{13312013212120} is an apocalyptic number.

13312013212120 is a gapful number since it is divisible by the number (10) 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 13312013212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372281351680).

13312013212120 is an abundant number, since it is smaller than the sum of its proper divisors (21432549491240).

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

13312013212120 is a wasteful number, since it uses less digits than its factorization.

13312013212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56513 (or 56509 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 13312013212120 its reverse (2121231021331), we get a palindrome (15433244233451).

The spelling of 13312013212120 in words is "thirteen trillion, three hundred twelve billion, thirteen million, two hundred twelve thousand, one hundred twenty".