13321121211300 has 288 divisors, whose sum is σ = 48382803302400. Its totient is φ = 2759157181440.

The previous prime is 13321121211283. The next prime is 13321121211329. The reversal of 13321121211300 is 311212112331.

It is a super-2 number, since 2×13321121211300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6340185 + ... + 8175584.

It is an arithmetic number, because the mean of its divisors is an integer number (167995844800).

Almost surely, 2^{13321121211300} is an apocalyptic number.

13321121211300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321121211300 is an abundant number, since it is smaller than the sum of its proper divisors (35061682091100).

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

13321121211300 is a wasteful number, since it uses less digits than its factorization.

13321121211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14515835 (or 14515828 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 13321121211300 its reverse (311212112331), we get a palindrome (13632333323631).

The spelling of 13321121211300 in words is "thirteen trillion, three hundred twenty-one billion, one hundred twenty-one million, two hundred eleven thousand, three hundred".