121130312321 has 8 divisors (see below), whose sum is σ = 122476285800. Its totient is φ = 119788606080.

The previous prime is 121130312297. The next prime is 121130312333. The reversal of 121130312321 is 123213031121.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52457489296 + 68672823025 = 229036^2 + 262055^2 .

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 121130312321 - 2¹⁸ = 121130050177 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121130312293 and 121130312302.

It is not an unprimeable number, because it can be changed into a prime (121130312351) 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 7 ways as a sum of consecutive naturals, for example, 1009706 + ... + 1123283.

It is an arithmetic number, because the mean of its divisors is an integer number (15309535725).

Almost surely, 2^121130312321 is an apocalyptic number.

It is an amenable number.

121130312321 is a deficient number, since it is larger than the sum of its proper divisors (1345973479).

121130312321 is a wasteful number, since it uses less digits than its factorization.

121130312321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133619.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121130312321 its reverse (123213031121), we get a palindrome (244343343442).

The spelling of 121130312321 in words is "one hundred twenty-one billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty-one".