13331100323121 has 64 divisors (see below), whose sum is σ = 21772410114048. Its totient is φ = 7088902748928.

The previous prime is 13331100323119. The next prime is 13331100323137. The reversal of 13331100323121 is 12132300113331.

It is not a de Polignac number, because 13331100323121 - 2¹ = 13331100323119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13331100323091 and 13331100323100.

It is not an unprimeable number, because it can be changed into a prime (13331100323111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 204894231 + ... + 204959283.

It is an arithmetic number, because the mean of its divisors is an integer number (340193908032).

Almost surely, 2^{13331100323121} is an apocalyptic number.

It is an amenable number.

13331100323121 is a deficient number, since it is larger than the sum of its proper divisors (8441309790927).

13331100323121 is a wasteful number, since it uses less digits than its factorization.

13331100323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76590.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13331100323121 its reverse (12132300113331), we get a palindrome (25463400436452).

The spelling of 13331100323121 in words is "thirteen trillion, three hundred thirty-one billion, one hundred million, three hundred twenty-three thousand, one hundred twenty-one".