121313331220121 has 8 divisors (see below), whose sum is σ = 122427036775560. Its totient is φ = 120199639105152.

The previous prime is 121313331220087. The next prime is 121313331220153. The reversal of 121313331220121 is 121022133313121.

It can be written as a sum of positive squares in 4 ways, for example, as 34603041529225 + 86710289690896 = 5882435^2 + 9311836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 121313331220121 - 2³⁰ = 121312257478297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121313331228121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15245411 + ... + 21795623.

It is an arithmetic number, because the mean of its divisors is an integer number (15303379596945).

Almost surely, 2^{121313331220121} is an apocalyptic number.

It is an amenable number.

121313331220121 is a deficient number, since it is larger than the sum of its proper divisors (1113705555439).

121313331220121 is a wasteful number, since it uses less digits than its factorization.

121313331220121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6720235.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 121313331220121 its reverse (121022133313121), we get a palindrome (242335464533242).

The spelling of 121313331220121 in words is "one hundred twenty-one trillion, three hundred thirteen billion, three hundred thirty-one million, two hundred twenty thousand, one hundred twenty-one".