13310331221121 has 32 divisors (see below), whose sum is σ = 19544037152640. Its totient is φ = 7990430976000.

The previous prime is 13310331221081. The next prime is 13310331221141. The reversal of 13310331221121 is 12112213301331.

It is not a de Polignac number, because 13310331221121 - 2¹⁰ = 13310331220097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13310331221091 and 13310331221100.

It is not an unprimeable number, because it can be changed into a prime (13310331221141) 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 31 ways as a sum of consecutive naturals, for example, 11313201 + ... + 12434193.

It is an arithmetic number, because the mean of its divisors is an integer number (610751161020).

Almost surely, 2^{13310331221121} is an apocalyptic number.

13310331221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13310331221121 is a deficient number, since it is larger than the sum of its proper divisors (6233705931519).

13310331221121 is a wasteful number, since it uses less digits than its factorization.

13310331221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124417.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13310331221121 its reverse (12112213301331), we get a palindrome (25422544522452).

The spelling of 13310331221121 in words is "thirteen trillion, three hundred ten billion, three hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty-one".