13301322211332 has 144 divisors (see below), whose sum is σ = 34078236192000. Its totient is φ = 4374161406720.

The previous prime is 13301322211291. The next prime is 13301322211339. The reversal of 13301322211332 is 23311222310331.

13301322211332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 322 + 2 + 1 + 1 + 332 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13301322211296 and 13301322211305.

It is not an unprimeable number, because it can be changed into a prime (13301322211339) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1280075857 + ... + 1280086247.

It is an arithmetic number, because the mean of its divisors is an integer number (236654418000).

Almost surely, 2^{13301322211332} is an apocalyptic number.

13301322211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13301322211332 is an abundant number, since it is smaller than the sum of its proper divisors (20776913980668).

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

13301322211332 is a wasteful number, since it uses less digits than its factorization.

13301322211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12146 (or 12141 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13301322211332 its reverse (23311222310331), we get a palindrome (36612544521663).

The spelling of 13301322211332 in words is "thirteen trillion, three hundred one billion, three hundred twenty-two million, two hundred eleven thousand, three hundred thirty-two".