13300012311012 has 480 divisors, whose sum is σ = 42960642278400. Its totient is φ = 3503079353088.

The previous prime is 13300012310999. The next prime is 13300012311043. The reversal of 13300012311012 is 21011321000331.

13300012311012 is a `hidden beast` number, since 1 + 330 + 0 + 0 + 1 + 231 + 101 + 2 = 666.

It is a super-2 number, since 2×13300012311012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 159 ways as a sum of consecutive naturals, for example, 498431823 + ... + 498458505.

It is an arithmetic number, because the mean of its divisors is an integer number (89501338080).

Almost surely, 2^{13300012311012} is an apocalyptic number.

13300012311012 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 13300012311012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21480321139200).

13300012311012 is an abundant number, since it is smaller than the sum of its proper divisors (29660629967388).

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

13300012311012 is a wasteful number, since it uses less digits than its factorization.

13300012311012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27037 (or 27026 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13300012311012 its reverse (21011321000331), we get a palindrome (34311333311343).

The spelling of 13300012311012 in words is "thirteen trillion, three hundred billion, twelve million, three hundred eleven thousand, twelve".