13313100000000 has 648 divisors, whose sum is σ = 44712477107200. Its totient is φ = 3516480000000.

The previous prime is 13313099999999. The next prime is 13313100000007. The reversal of 13313100000000 is 131331.

It is a super-2 number, since 2×13313100000000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313100000007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59699999889 + ... + 59700000111.

Almost surely, 2^{13313100000000} is an apocalyptic number.

13313100000000 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 13313100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356238553600).

13313100000000 is an abundant number, since it is smaller than the sum of its proper divisors (31399377107200).

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

13313100000000 is an frugal number, since it uses more digits than its factorization.

13313100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13313100000000 its reverse (131331), we get a palindrome (13313100131331).

The spelling of 13313100000000 in words is "thirteen trillion, three hundred thirteen billion, one hundred million", and thus it is an aban number.