13331331121321 has 32 divisors (see below), whose sum is σ = 14821697520000. Its totient is φ = 11932467520512.

The previous prime is 13331331121289. The next prime is 13331331121363. The reversal of 13331331121321 is 12312113313331.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 13331331121321 - 2⁵ = 13331331121289 is a prime.

It is a super-4 number, since 4×13331331121321⁴ (a number of 54 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13331331121321.

It is not an unprimeable number, because it can be changed into a prime (13331331121021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 596495655 + ... + 596518003.

It is an arithmetic number, because the mean of its divisors is an integer number (463178047500).

Almost surely, 2^{13331331121321} is an apocalyptic number.

It is an amenable number.

13331331121321 is a deficient number, since it is larger than the sum of its proper divisors (1490366398679).

13331331121321 is a wasteful number, since it uses less digits than its factorization.

13331331121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40521.

The product of its digits is 2916, while the sum is 28.

Adding to 13331331121321 its reverse (12312113313331), we get a palindrome (25643444434652).

The spelling of 13331331121321 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-one million, one hundred twenty-one thousand, three hundred twenty-one".